Finding the Fourth Proportional to 12,854.34, 17,740.38 and 7,549.92

Step by Step Solution

1. Step 1: Write the proportion equation
   12,854.34 : 17,740.38 = 7,549.92 : x
2. Step 2: Convert to fraction form
   12,854.34/17,740.38 = 7,549.92/x
3. Step 3: Cross multiply
   12,854.34x = 17,740.38 × 7,549.92
4. Step 4: Simplify right side
   12,854.34x = 133,938,449.77
5. Step 5: Solve for x
   x = 133,938,449.77/12,854.34
6. Step 6: Final answer
   x = 10,419.71