Finding the Fourth Proportional to 2,649.08, 3,972.71 and 774.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.08 : 3,972.71 = 774.47 : x
2. Step 2: Convert to fraction form
   2,649.08/3,972.71 = 774.47/x
3. Step 3: Cross multiply
   2,649.08x = 3,972.71 × 774.47
4. Step 4: Simplify right side
   2,649.08x = 3,076,746.78
5. Step 5: Solve for x
   x = 3,076,746.78/2,649.08
6. Step 6: Final answer
   x = 1,161.44