Finding the Fourth Proportional to 10,514.48, 14,510.02 and 5,798.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.48 : 14,510.02 = 5,798.74 : x
2. Step 2: Convert to fraction form
   10,514.48/14,510.02 = 5,798.74/x
3. Step 3: Cross multiply
   10,514.48x = 14,510.02 × 5,798.74
4. Step 4: Simplify right side
   10,514.48x = 84,139,833.37
5. Step 5: Solve for x
   x = 84,139,833.37/10,514.48
6. Step 6: Final answer
   x = 8,002.28