Finding the Fourth Proportional to 2,460, 3,687.59 and 1,580.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,460 : 3,687.59 = 1,580.04 : x
2. Step 2: Convert to fraction form
   2,460/3,687.59 = 1,580.04/x
3. Step 3: Cross multiply
   2,460x = 3,687.59 × 1,580.04
4. Step 4: Simplify right side
   2,460x = 5,826,531.80
5. Step 5: Solve for x
   x = 5,826,531.80/2,460
6. Step 6: Final answer
   x = 2,368.51