Finding the Fourth Proportional to 2,457.34, 3,687.02 and 1,580.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.34 : 3,687.02 = 1,580.30 : x
2. Step 2: Convert to fraction form
   2,457.34/3,687.02 = 1,580.30/x
3. Step 3: Cross multiply
   2,457.34x = 3,687.02 × 1,580.30
4. Step 4: Simplify right side
   2,457.34x = 5,826,597.71
5. Step 5: Solve for x
   x = 5,826,597.71/2,457.34
6. Step 6: Final answer
   x = 2,371.10