Finding the Fourth Proportional to 9,877.92, 13,634.96 and 5,687.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.92 : 13,634.96 = 5,687.84 : x
2. Step 2: Convert to fraction form
   9,877.92/13,634.96 = 5,687.84/x
3. Step 3: Cross multiply
   9,877.92x = 13,634.96 × 5,687.84
4. Step 4: Simplify right side
   9,877.92x = 77,553,470.89
5. Step 5: Solve for x
   x = 77,553,470.89/9,877.92
6. Step 6: Final answer
   x = 7,851.19