Finding the Fourth Proportional to 2,417.72, 3,625.86 and 774.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,417.72 : 3,625.86 = 774.20 : x
2. Step 2: Convert to fraction form
   2,417.72/3,625.86 = 774.20/x
3. Step 3: Cross multiply
   2,417.72x = 3,625.86 × 774.20
4. Step 4: Simplify right side
   2,417.72x = 2,807,140.81
5. Step 5: Solve for x
   x = 2,807,140.81/2,417.72
6. Step 6: Final answer
   x = 1,161.07