Finding the Fourth Proportional to 2,401.78, 3,602.09 and 758.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.78 : 3,602.09 = 758.02 : x
2. Step 2: Convert to fraction form
   2,401.78/3,602.09 = 758.02/x
3. Step 3: Cross multiply
   2,401.78x = 3,602.09 × 758.02
4. Step 4: Simplify right side
   2,401.78x = 2,730,456.26
5. Step 5: Solve for x
   x = 2,730,456.26/2,401.78
6. Step 6: Final answer
   x = 1,136.85