Finding the Fourth Proportional to 7,456.61, 10,290.78 and 4,100.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,456.61 : 10,290.78 = 4,100.09 : x
2. Step 2: Convert to fraction form
   7,456.61/10,290.78 = 4,100.09/x
3. Step 3: Cross multiply
   7,456.61x = 10,290.78 × 4,100.09
4. Step 4: Simplify right side
   7,456.61x = 42,193,072.72
5. Step 5: Solve for x
   x = 42,193,072.72/7,456.61
6. Step 6: Final answer
   x = 5,658.48