Finding the Fourth Proportional to 10,514.56, 14,510.08 and 5,798.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.56 : 14,510.08 = 5,798.86 : x
2. Step 2: Convert to fraction form
   10,514.56/14,510.08 = 5,798.86/x
3. Step 3: Cross multiply
   10,514.56x = 14,510.08 × 5,798.86
4. Step 4: Simplify right side
   10,514.56x = 84,141,922.51
5. Step 5: Solve for x
   x = 84,141,922.51/10,514.56
6. Step 6: Final answer
   x = 8,002.42