Finding the Fourth Proportional to 10,314.38, 14,234.10 and 5,598.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.38 : 14,234.10 = 5,598.65 : x
2. Step 2: Convert to fraction form
   10,314.38/14,234.10 = 5,598.65/x
3. Step 3: Cross multiply
   10,314.38x = 14,234.10 × 5,598.65
4. Step 4: Simplify right side
   10,314.38x = 79,691,672.79
5. Step 5: Solve for x
   x = 79,691,672.79/10,314.38
6. Step 6: Final answer
   x = 7,726.27