Finding the Fourth Proportional to 1,641.78, 2,463.27 and 775.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.78 : 2,463.27 = 775.89 : x
2. Step 2: Convert to fraction form
   1,641.78/2,463.27 = 775.89/x
3. Step 3: Cross multiply
   1,641.78x = 2,463.27 × 775.89
4. Step 4: Simplify right side
   1,641.78x = 1,911,226.56
5. Step 5: Solve for x
   x = 1,911,226.56/1,641.78
6. Step 6: Final answer
   x = 1,164.12