Finding the Fourth Proportional to 10,514.89, 14,509.78 and 5,799.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.89 : 14,509.78 = 5,799.13 : x
2. Step 2: Convert to fraction form
   10,514.89/14,509.78 = 5,799.13/x
3. Step 3: Cross multiply
   10,514.89x = 14,509.78 × 5,799.13
4. Step 4: Simplify right side
   10,514.89x = 84,144,100.49
5. Step 5: Solve for x
   x = 84,144,100.49/10,514.89
6. Step 6: Final answer
   x = 8,002.38