Finding the Fourth Proportional to 10,485.86, 14,470.75 and 5,706.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,485.86 : 14,470.75 = 5,706.10 : x
2. Step 2: Convert to fraction form
   10,485.86/14,470.75 = 5,706.10/x
3. Step 3: Cross multiply
   10,485.86x = 14,470.75 × 5,706.10
4. Step 4: Simplify right side
   10,485.86x = 82,571,571.80
5. Step 5: Solve for x
   x = 82,571,571.80/10,485.86
6. Step 6: Final answer
   x = 7,874.57