Finding the Fourth Proportional to 11,507.81, 15,868.31 and 10,002.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,507.81 : 15,868.31 = 10,002.42 : x
2. Step 2: Convert to fraction form
   11,507.81/15,868.31 = 10,002.42/x
3. Step 3: Cross multiply
   11,507.81x = 15,868.31 × 10,002.42
4. Step 4: Simplify right side
   11,507.81x = 158,721,451.30
5. Step 5: Solve for x
   x = 158,721,451.30/11,507.81
6. Step 6: Final answer
   x = 13,792.50