Finding the Fourth Proportional to 3,802.56, 5,702.85 and 1,610.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.56 : 5,702.85 = 1,610.16 : x
2. Step 2: Convert to fraction form
   3,802.56/5,702.85 = 1,610.16/x
3. Step 3: Cross multiply
   3,802.56x = 5,702.85 × 1,610.16
4. Step 4: Simplify right side
   3,802.56x = 9,182,500.96
5. Step 5: Solve for x
   x = 9,182,500.96/3,802.56
6. Step 6: Final answer
   x = 2,414.82