Finding the Fourth Proportional to 10,314.86, 14,234.69 and 5,599.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.86 : 14,234.69 = 5,599.14 : x
2. Step 2: Convert to fraction form
   10,314.86/14,234.69 = 5,599.14/x
3. Step 3: Cross multiply
   10,314.86x = 14,234.69 × 5,599.14
4. Step 4: Simplify right side
   10,314.86x = 79,702,022.17
5. Step 5: Solve for x
   x = 79,702,022.17/10,314.86
6. Step 6: Final answer
   x = 7,726.91