Finding the Fourth Proportional to 10,151.01, 14,008.37 and 5,674.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151.01 : 14,008.37 = 5,674.77 : x
2. Step 2: Convert to fraction form
   10,151.01/14,008.37 = 5,674.77/x
3. Step 3: Cross multiply
   10,151.01x = 14,008.37 × 5,674.77
4. Step 4: Simplify right side
   10,151.01x = 79,494,249.45
5. Step 5: Solve for x
   x = 79,494,249.45/10,151.01
6. Step 6: Final answer
   x = 7,831.17