Finding the Fourth Proportional to 10,178.94, 14,047.56 and 5,702.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.94 : 14,047.56 = 5,702.97 : x
2. Step 2: Convert to fraction form
   10,178.94/14,047.56 = 5,702.97/x
3. Step 3: Cross multiply
   10,178.94x = 14,047.56 × 5,702.97
4. Step 4: Simplify right side
   10,178.94x = 80,112,813.25
5. Step 5: Solve for x
   x = 80,112,813.25/10,178.94
6. Step 6: Final answer
   x = 7,870.45