Finding the Fourth Proportional to 10,314.10, 14,231.10 and 5,836.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.10 : 14,231.10 = 5,836.89 : x
2. Step 2: Convert to fraction form
   10,314.10/14,231.10 = 5,836.89/x
3. Step 3: Cross multiply
   10,314.10x = 14,231.10 × 5,836.89
4. Step 4: Simplify right side
   10,314.10x = 83,065,365.28
5. Step 5: Solve for x
   x = 83,065,365.28/10,314.10
6. Step 6: Final answer
   x = 8,053.57