Finding the Fourth Proportional to 11,514.30, 15,871.86 and 9,632.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,514.30 : 15,871.86 = 9,632.13 : x
2. Step 2: Convert to fraction form
   11,514.30/15,871.86 = 9,632.13/x
3. Step 3: Cross multiply
   11,514.30x = 15,871.86 × 9,632.13
4. Step 4: Simplify right side
   11,514.30x = 152,879,818.86
5. Step 5: Solve for x
   x = 152,879,818.86/11,514.30
6. Step 6: Final answer
   x = 13,277.39