Finding the Fourth Proportional to 2,404.78, 3,602.50 and 1,580.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404.78 : 3,602.50 = 1,580.55 : x
2. Step 2: Convert to fraction form
   2,404.78/3,602.50 = 1,580.55/x
3. Step 3: Cross multiply
   2,404.78x = 3,602.50 × 1,580.55
4. Step 4: Simplify right side
   2,404.78x = 5,693,931.38
5. Step 5: Solve for x
   x = 5,693,931.38/2,404.78
6. Step 6: Final answer
   x = 2,367.76