Finding the Fourth Proportional to 2,233.27, 3,347.86 and 771.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.27 : 3,347.86 = 771.40 : x
2. Step 2: Convert to fraction form
   2,233.27/3,347.86 = 771.40/x
3. Step 3: Cross multiply
   2,233.27x = 3,347.86 × 771.40
4. Step 4: Simplify right side
   2,233.27x = 2,582,531.32
5. Step 5: Solve for x
   x = 2,582,531.32/2,233.27
6. Step 6: Final answer
   x = 1,156.39