Finding the Fourth Proportional to 10,402.78, 14,355.90 and 5,687.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.78 : 14,355.90 = 5,687.08 : x
2. Step 2: Convert to fraction form
   10,402.78/14,355.90 = 5,687.08/x
3. Step 3: Cross multiply
   10,402.78x = 14,355.90 × 5,687.08
4. Step 4: Simplify right side
   10,402.78x = 81,643,151.77
5. Step 5: Solve for x
   x = 81,643,151.77/10,402.78
6. Step 6: Final answer
   x = 7,848.21