Finding the Fourth Proportional to 12,886.52, 17,785.92 and 7,585.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,886.52 : 17,785.92 = 7,585.88 : x
2. Step 2: Convert to fraction form
   12,886.52/17,785.92 = 7,585.88/x
3. Step 3: Cross multiply
   12,886.52x = 17,785.92 × 7,585.88
4. Step 4: Simplify right side
   12,886.52x = 134,921,854.81
5. Step 5: Solve for x
   x = 134,921,854.81/12,886.52
6. Step 6: Final answer
   x = 10,470.00