Finding the Fourth Proportional to 10,509.31, 14,502.96 and 5,793.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509.31 : 14,502.96 = 5,793.76 : x
2. Step 2: Convert to fraction form
   10,509.31/14,502.96 = 5,793.76/x
3. Step 3: Cross multiply
   10,509.31x = 14,502.96 × 5,793.76
4. Step 4: Simplify right side
   10,509.31x = 84,026,669.53
5. Step 5: Solve for x
   x = 84,026,669.53/10,509.31
6. Step 6: Final answer
   x = 7,995.45