Finding the Fourth Proportional to 392,855.50, 542,140.59 and 214,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   392,855.50 : 542,140.59 = 214,007.50 : x
2. Step 2: Convert to fraction form
   392,855.50/542,140.59 = 214,007.50/x
3. Step 3: Cross multiply
   392,855.50x = 542,140.59 × 214,007.50
4. Step 4: Simplify right side
   392,855.50x = 116,022,152,314.43
5. Step 5: Solve for x
   x = 116,022,152,314.43/392,855.50
6. Step 6: Final answer
   x = 295,330.35