Finding the Fourth Proportional to 978.94, 1,461.25 and 849.85

Step by Step Solution

1. Step 1: Write the proportion equation
   978.94 : 1,461.25 = 849.85 : x
2. Step 2: Convert to fraction form
   978.94/1,461.25 = 849.85/x
3. Step 3: Cross multiply
   978.94x = 1,461.25 × 849.85
4. Step 4: Simplify right side
   978.94x = 1,241,843.31
5. Step 5: Solve for x
   x = 1,241,843.31/978.94
6. Step 6: Final answer
   x = 1,268.56