Finding the Fourth Proportional to 10,169.38, 14,033.76 and 5,693.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,169.38 : 14,033.76 = 5,693.15 : x
2. Step 2: Convert to fraction form
   10,169.38/14,033.76 = 5,693.15/x
3. Step 3: Cross multiply
   10,169.38x = 14,033.76 × 5,693.15
4. Step 4: Simplify right side
   10,169.38x = 79,896,314.48
5. Step 5: Solve for x
   x = 79,896,314.48/10,169.38
6. Step 6: Final answer
   x = 7,856.56