Finding the Fourth Proportional to 10,514.64, 14,509.89 and 5,798.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.64 : 14,509.89 = 5,798.94 : x
2. Step 2: Convert to fraction form
   10,514.64/14,509.89 = 5,798.94/x
3. Step 3: Cross multiply
   10,514.64x = 14,509.89 × 5,798.94
4. Step 4: Simplify right side
   10,514.64x = 84,141,981.52
5. Step 5: Solve for x
   x = 84,141,981.52/10,514.64
6. Step 6: Final answer
   x = 8,002.36