Finding the Fourth Proportional to 10,314.50, 14,232.36 and 5,836.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.50 : 14,232.36 = 5,836.82 : x
2. Step 2: Convert to fraction form
   10,314.50/14,232.36 = 5,836.82/x
3. Step 3: Cross multiply
   10,314.50x = 14,232.36 × 5,836.82
4. Step 4: Simplify right side
   10,314.50x = 83,071,723.50
5. Step 5: Solve for x
   x = 83,071,723.50/10,314.50
6. Step 6: Final answer
   x = 8,053.88