Finding the Fourth Proportional to 10,513.88, 14,509.10 and 5,734.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.88 : 14,509.10 = 5,734.08 : x
2. Step 2: Convert to fraction form
   10,513.88/14,509.10 = 5,734.08/x
3. Step 3: Cross multiply
   10,513.88x = 14,509.10 × 5,734.08
4. Step 4: Simplify right side
   10,513.88x = 83,196,340.13
5. Step 5: Solve for x
   x = 83,196,340.13/10,513.88
6. Step 6: Final answer
   x = 7,913.00