Finding the Fourth Proportional to 10,502.25, 14,493.15 and 5,786.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.25 : 14,493.15 = 5,786.43 : x
2. Step 2: Convert to fraction form
   10,502.25/14,493.15 = 5,786.43/x
3. Step 3: Cross multiply
   10,502.25x = 14,493.15 × 5,786.43
4. Step 4: Simplify right side
   10,502.25x = 83,863,597.95
5. Step 5: Solve for x
   x = 83,863,597.95/10,502.25
6. Step 6: Final answer
   x = 7,985.30