Finding the Fourth Proportional to 2,401.78, 3,598.01 and 1,577.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.78 : 3,598.01 = 1,577.55 : x
2. Step 2: Convert to fraction form
   2,401.78/3,598.01 = 1,577.55/x
3. Step 3: Cross multiply
   2,401.78x = 3,598.01 × 1,577.55
4. Step 4: Simplify right side
   2,401.78x = 5,676,032.79
5. Step 5: Solve for x
   x = 5,676,032.79/2,401.78
6. Step 6: Final answer
   x = 2,363.26