Finding the Fourth Proportional to 6,178.71, 8,524.50 and 5,042.39

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.71 : 8,524.50 = 5,042.39 : x
2. Step 2: Convert to fraction form
   6,178.71/8,524.50 = 5,042.39/x
3. Step 3: Cross multiply
   6,178.71x = 8,524.50 × 5,042.39
4. Step 4: Simplify right side
   6,178.71x = 42,983,792.02
5. Step 5: Solve for x
   x = 42,983,792.02/6,178.71
6. Step 6: Final answer
   x = 6,956.75