Finding the Fourth Proportional to 7,456.74, 10,290.50 and 4,099.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,456.74 : 10,290.50 = 4,099.64 : x
2. Step 2: Convert to fraction form
   7,456.74/10,290.50 = 4,099.64/x
3. Step 3: Cross multiply
   7,456.74x = 10,290.50 × 4,099.64
4. Step 4: Simplify right side
   7,456.74x = 42,187,345.42
5. Step 5: Solve for x
   x = 42,187,345.42/7,456.74
6. Step 6: Final answer
   x = 5,657.61