Finding the Fourth Proportional to 10,179.09, 14,047.65 and 5,702.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,179.09 : 14,047.65 = 5,702.55 : x
2. Step 2: Convert to fraction form
   10,179.09/14,047.65 = 5,702.55/x
3. Step 3: Cross multiply
   10,179.09x = 14,047.65 × 5,702.55
4. Step 4: Simplify right side
   10,179.09x = 80,107,426.51
5. Step 5: Solve for x
   x = 80,107,426.51/10,179.09
6. Step 6: Final answer
   x = 7,869.80