Finding the Fourth Proportional to 5,514.31, 8,255.67 and 5,165.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,514.31 : 8,255.67 = 5,165.13 : x
2. Step 2: Convert to fraction form
   5,514.31/8,255.67 = 5,165.13/x
3. Step 3: Cross multiply
   5,514.31x = 8,255.67 × 5,165.13
4. Step 4: Simplify right side
   5,514.31x = 42,641,649.43
5. Step 5: Solve for x
   x = 42,641,649.43/5,514.31
6. Step 6: Final answer
   x = 7,732.91