Finding the Fourth Proportional to 10,514.59, 14,509.86 and 5,798.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.59 : 14,509.86 = 5,798.57 : x
2. Step 2: Convert to fraction form
   10,514.59/14,509.86 = 5,798.57/x
3. Step 3: Cross multiply
   10,514.59x = 14,509.86 × 5,798.57
4. Step 4: Simplify right side
   10,514.59x = 84,136,366.35
5. Step 5: Solve for x
   x = 84,136,366.35/10,514.59
6. Step 6: Final answer
   x = 8,001.87