Finding the Fourth Proportional to 10,514.32, 14,509.92 and 5,798.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.32 : 14,509.92 = 5,798.59 : x
2. Step 2: Convert to fraction form
   10,514.32/14,509.92 = 5,798.59/x
3. Step 3: Cross multiply
   10,514.32x = 14,509.92 × 5,798.59
4. Step 4: Simplify right side
   10,514.32x = 84,137,077.01
5. Step 5: Solve for x
   x = 84,137,077.01/10,514.32
6. Step 6: Final answer
   x = 8,002.14