Finding the Fourth Proportional to 11,426.86, 15,734.00 and 10,002.57

Step by Step Solution

1. Step 1: Write the proportion equation
   11,426.86 : 15,734.00 = 10,002.57 : x
2. Step 2: Convert to fraction form
   11,426.86/15,734.00 = 10,002.57/x
3. Step 3: Cross multiply
   11,426.86x = 15,734.00 × 10,002.57
4. Step 4: Simplify right side
   11,426.86x = 157,380,386.37
5. Step 5: Solve for x
   x = 157,380,386.37/11,426.86
6. Step 6: Final answer
   x = 13,772.85