Finding the Fourth Proportional to 10,514.34, 14,508.90 and 5,798.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.34 : 14,508.90 = 5,798.52 : x
2. Step 2: Convert to fraction form
   10,514.34/14,508.90 = 5,798.52/x
3. Step 3: Cross multiply
   10,514.34x = 14,508.90 × 5,798.52
4. Step 4: Simplify right side
   10,514.34x = 84,130,146.83
5. Step 5: Solve for x
   x = 84,130,146.83/10,514.34
6. Step 6: Final answer
   x = 8,001.47