Finding the Fourth Proportional to 10,514.91, 14,510.58 and 5,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.91 : 14,510.58 = 5,799.50 : x
2. Step 2: Convert to fraction form
   10,514.91/14,510.58 = 5,799.50/x
3. Step 3: Cross multiply
   10,514.91x = 14,510.58 × 5,799.50
4. Step 4: Simplify right side
   10,514.91x = 84,154,036.16
5. Step 5: Solve for x
   x = 84,154,036.16/10,514.91
6. Step 6: Final answer
   x = 8,003.31