Finding the Fourth Proportional to 3,466.76, 5,200.42 and 1,001.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,466.76 : 5,200.42 = 1,001.61 : x
2. Step 2: Convert to fraction form
   3,466.76/5,200.42 = 1,001.61/x
3. Step 3: Cross multiply
   3,466.76x = 5,200.42 × 1,001.61
4. Step 4: Simplify right side
   3,466.76x = 5,208,790.17
5. Step 5: Solve for x
   x = 5,208,790.17/3,466.76
6. Step 6: Final answer
   x = 1,502.49