Finding the Fourth Proportional to 7,359.75, 10,156.50 and 4,216.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,359.75 : 10,156.50 = 4,216.14 : x
2. Step 2: Convert to fraction form
   7,359.75/10,156.50 = 4,216.14/x
3. Step 3: Cross multiply
   7,359.75x = 10,156.50 × 4,216.14
4. Step 4: Simplify right side
   7,359.75x = 42,821,225.91
5. Step 5: Solve for x
   x = 42,821,225.91/7,359.75
6. Step 6: Final answer
   x = 5,818.30