Finding the Fourth Proportional to 10,151.02, 14,008.35 and 5,674.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151.02 : 14,008.35 = 5,674.78 : x
2. Step 2: Convert to fraction form
   10,151.02/14,008.35 = 5,674.78/x
3. Step 3: Cross multiply
   10,151.02x = 14,008.35 × 5,674.78
4. Step 4: Simplify right side
   10,151.02x = 79,494,304.41
5. Step 5: Solve for x
   x = 79,494,304.41/10,151.02
6. Step 6: Final answer
   x = 7,831.16