Finding the Fourth Proportional to 14,071.34, 19,416.15 and 7,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,071.34 : 19,416.15 = 7,782.50 : x
2. Step 2: Convert to fraction form
   14,071.34/19,416.15 = 7,782.50/x
3. Step 3: Cross multiply
   14,071.34x = 19,416.15 × 7,782.50
4. Step 4: Simplify right side
   14,071.34x = 151,106,187.38
5. Step 5: Solve for x
   x = 151,106,187.38/14,071.34
6. Step 6: Final answer
   x = 10,738.58