Finding the Fourth Proportional to 2,456.16, 3,690.14 and 1,580.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.16 : 3,690.14 = 1,580.34 : x
2. Step 2: Convert to fraction form
   2,456.16/3,690.14 = 1,580.34/x
3. Step 3: Cross multiply
   2,456.16x = 3,690.14 × 1,580.34
4. Step 4: Simplify right side
   2,456.16x = 5,831,675.85
5. Step 5: Solve for x
   x = 5,831,675.85/2,456.16
6. Step 6: Final answer
   x = 2,374.31