Finding the Fourth Proportional to 10,150.12, 14,006.04 and 5,674.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.12 : 14,006.04 = 5,674.06 : x
2. Step 2: Convert to fraction form
   10,150.12/14,006.04 = 5,674.06/x
3. Step 3: Cross multiply
   10,150.12x = 14,006.04 × 5,674.06
4. Step 4: Simplify right side
   10,150.12x = 79,471,111.32
5. Step 5: Solve for x
   x = 79,471,111.32/10,150.12
6. Step 6: Final answer
   x = 7,829.57