Finding the Fourth Proportional to 2,531.89, 3,797.37 and 776.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.89 : 3,797.37 = 776.47 : x
2. Step 2: Convert to fraction form
   2,531.89/3,797.37 = 776.47/x
3. Step 3: Cross multiply
   2,531.89x = 3,797.37 × 776.47
4. Step 4: Simplify right side
   2,531.89x = 2,948,543.88
5. Step 5: Solve for x
   x = 2,948,543.88/2,531.89
6. Step 6: Final answer
   x = 1,164.56