Finding the Fourth Proportional to 10,316.39, 14,234.24 and 5,839.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,316.39 : 14,234.24 = 5,839.16 : x
2. Step 2: Convert to fraction form
   10,316.39/14,234.24 = 5,839.16/x
3. Step 3: Cross multiply
   10,316.39x = 14,234.24 × 5,839.16
4. Step 4: Simplify right side
   10,316.39x = 83,115,948.27
5. Step 5: Solve for x
   x = 83,115,948.27/10,316.39
6. Step 6: Final answer
   x = 8,056.69