Finding the Fourth Proportional to 10,178.10, 14,045.85 and 5,702.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.10 : 14,045.85 = 5,702.04 : x
2. Step 2: Convert to fraction form
   10,178.10/14,045.85 = 5,702.04/x
3. Step 3: Cross multiply
   10,178.10x = 14,045.85 × 5,702.04
4. Step 4: Simplify right side
   10,178.10x = 80,089,998.53
5. Step 5: Solve for x
   x = 80,089,998.53/10,178.10
6. Step 6: Final answer
   x = 7,868.86