Finding the Fourth Proportional to 9,451.10, 13,042.74 and 5,674.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,451.10 : 13,042.74 = 5,674.41 : x
2. Step 2: Convert to fraction form
   9,451.10/13,042.74 = 5,674.41/x
3. Step 3: Cross multiply
   9,451.10x = 13,042.74 × 5,674.41
4. Step 4: Simplify right side
   9,451.10x = 74,009,854.28
5. Step 5: Solve for x
   x = 74,009,854.28/9,451.10
6. Step 6: Final answer
   x = 7,830.82