Finding the Fourth Proportional to 10,502.31, 14,493.18 and 5,786.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.31 : 14,493.18 = 5,786.60 : x
2. Step 2: Convert to fraction form
   10,502.31/14,493.18 = 5,786.60/x
3. Step 3: Cross multiply
   10,502.31x = 14,493.18 × 5,786.60
4. Step 4: Simplify right side
   10,502.31x = 83,866,162.92
5. Step 5: Solve for x
   x = 83,866,162.92/10,502.31
6. Step 6: Final answer
   x = 7,985.50