Finding the Fourth Proportional to 12,762.59, 19,147.52 and 9,256.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,762.59 : 19,147.52 = 9,256.10 : x
2. Step 2: Convert to fraction form
   12,762.59/19,147.52 = 9,256.10/x
3. Step 3: Cross multiply
   12,762.59x = 19,147.52 × 9,256.10
4. Step 4: Simplify right side
   12,762.59x = 177,231,287.27
5. Step 5: Solve for x
   x = 177,231,287.27/12,762.59
6. Step 6: Final answer
   x = 13,886.79