Finding the Fourth Proportional to 12,825.29, 17,694.02 and 7,787.60

Step by Step Solution

1. Step 1: Write the proportion equation
   12,825.29 : 17,694.02 = 7,787.60 : x
2. Step 2: Convert to fraction form
   12,825.29/17,694.02 = 7,787.60/x
3. Step 3: Cross multiply
   12,825.29x = 17,694.02 × 7,787.60
4. Step 4: Simplify right side
   12,825.29x = 137,793,881.15
5. Step 5: Solve for x
   x = 137,793,881.15/12,825.29
6. Step 6: Final answer
   x = 10,743.92