Finding the Fourth Proportional to 10,470.42, 14,447.34 and 6,278.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470.42 : 14,447.34 = 6,278.76 : x
2. Step 2: Convert to fraction form
   10,470.42/14,447.34 = 6,278.76/x
3. Step 3: Cross multiply
   10,470.42x = 14,447.34 × 6,278.76
4. Step 4: Simplify right side
   10,470.42x = 90,711,380.50
5. Step 5: Solve for x
   x = 90,711,380.50/10,470.42
6. Step 6: Final answer
   x = 8,663.59