Finding the Fourth Proportional to 10,150.10, 14,008.44 and 5,674.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.10 : 14,008.44 = 5,674.77 : x
2. Step 2: Convert to fraction form
   10,150.10/14,008.44 = 5,674.77/x
3. Step 3: Cross multiply
   10,150.10x = 14,008.44 × 5,674.77
4. Step 4: Simplify right side
   10,150.10x = 79,494,675.06
5. Step 5: Solve for x
   x = 79,494,675.06/10,150.10
6. Step 6: Final answer
   x = 7,831.91