Finding the Fourth Proportional to 10,178.37, 14,045.98 and 5,702.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.37 : 14,045.98 = 5,702.11 : x
2. Step 2: Convert to fraction form
   10,178.37/14,045.98 = 5,702.11/x
3. Step 3: Cross multiply
   10,178.37x = 14,045.98 × 5,702.11
4. Step 4: Simplify right side
   10,178.37x = 80,091,720.13
5. Step 5: Solve for x
   x = 80,091,720.13/10,178.37
6. Step 6: Final answer
   x = 7,868.81