Finding the Fourth Proportional to 10,150.79, 14,007.74 and 5,674.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.79 : 14,007.74 = 5,674.46 : x
2. Step 2: Convert to fraction form
   10,150.79/14,007.74 = 5,674.46/x
3. Step 3: Cross multiply
   10,150.79x = 14,007.74 × 5,674.46
4. Step 4: Simplify right side
   10,150.79x = 79,486,261.91
5. Step 5: Solve for x
   x = 79,486,261.91/10,150.79
6. Step 6: Final answer
   x = 7,830.55