Finding the Fourth Proportional to 10,150.53, 14,006.10 and 5,674.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.53 : 14,006.10 = 5,674.05 : x
2. Step 2: Convert to fraction form
   10,150.53/14,006.10 = 5,674.05/x
3. Step 3: Cross multiply
   10,150.53x = 14,006.10 × 5,674.05
4. Step 4: Simplify right side
   10,150.53x = 79,471,311.71
5. Step 5: Solve for x
   x = 79,471,311.71/10,150.53
6. Step 6: Final answer
   x = 7,829.28