Finding the Fourth Proportional to 7,456, 10,289.16 and 4,098.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,456 : 10,289.16 = 4,098.82 : x
2. Step 2: Convert to fraction form
   7,456/10,289.16 = 4,098.82/x
3. Step 3: Cross multiply
   7,456x = 10,289.16 × 4,098.82
4. Step 4: Simplify right side
   7,456x = 42,173,414.79
5. Step 5: Solve for x
   x = 42,173,414.79/7,456
6. Step 6: Final answer
   x = 5,656.31