Finding the Fourth Proportional to 10,514.85, 14,510.10 and 5,799.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.85 : 14,510.10 = 5,799.14 : x
2. Step 2: Convert to fraction form
   10,514.85/14,510.10 = 5,799.14/x
3. Step 3: Cross multiply
   10,514.85x = 14,510.10 × 5,799.14
4. Step 4: Simplify right side
   10,514.85x = 84,146,023.34
5. Step 5: Solve for x
   x = 84,146,023.34/10,514.85
6. Step 6: Final answer
   x = 8,002.59