Finding the Fourth Proportional to 2,311.86, 3,468.18 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,311.86 : 3,468.18 = 772.50 : x
2. Step 2: Convert to fraction form
   2,311.86/3,468.18 = 772.50/x
3. Step 3: Cross multiply
   2,311.86x = 3,468.18 × 772.50
4. Step 4: Simplify right side
   2,311.86x = 2,679,169.05
5. Step 5: Solve for x
   x = 2,679,169.05/2,311.86
6. Step 6: Final answer
   x = 1,158.88