Finding the Fourth Proportional to 1,541.78, 2,314.71 and 850.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.78 : 2,314.71 = 850.89 : x
2. Step 2: Convert to fraction form
   1,541.78/2,314.71 = 850.89/x
3. Step 3: Cross multiply
   1,541.78x = 2,314.71 × 850.89
4. Step 4: Simplify right side
   1,541.78x = 1,969,563.59
5. Step 5: Solve for x
   x = 1,969,563.59/1,541.78
6. Step 6: Final answer
   x = 1,277.46