Finding the Fourth Proportional to 11,074.24, 16,592.85 and 7,781.43

Step by Step Solution

1. Step 1: Write the proportion equation
   11,074.24 : 16,592.85 = 7,781.43 : x
2. Step 2: Convert to fraction form
   11,074.24/16,592.85 = 7,781.43/x
3. Step 3: Cross multiply
   11,074.24x = 16,592.85 × 7,781.43
4. Step 4: Simplify right side
   11,074.24x = 129,116,100.78
5. Step 5: Solve for x
   x = 129,116,100.78/11,074.24
6. Step 6: Final answer
   x = 11,659.14