Finding the Fourth Proportional to 10,178.67, 14,046.49 and 5,702.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.67 : 14,046.49 = 5,702.46 : x
2. Step 2: Convert to fraction form
   10,178.67/14,046.49 = 5,702.46/x
3. Step 3: Cross multiply
   10,178.67x = 14,046.49 × 5,702.46
4. Step 4: Simplify right side
   10,178.67x = 80,099,547.37
5. Step 5: Solve for x
   x = 80,099,547.37/10,178.67
6. Step 6: Final answer
   x = 7,869.35