Finding the Fourth Proportional to 10,514.42, 14,509.86 and 5,798.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.42 : 14,509.86 = 5,798.96 : x
2. Step 2: Convert to fraction form
   10,514.42/14,509.86 = 5,798.96/x
3. Step 3: Cross multiply
   10,514.42x = 14,509.86 × 5,798.96
4. Step 4: Simplify right side
   10,514.42x = 84,142,097.75
5. Step 5: Solve for x
   x = 84,142,097.75/10,514.42
6. Step 6: Final answer
   x = 8,002.54