Finding the Fourth Proportional to 1,461.98, 2,017.49 and 832.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.98 : 2,017.49 = 832.46 : x
2. Step 2: Convert to fraction form
   1,461.98/2,017.49 = 832.46/x
3. Step 3: Cross multiply
   1,461.98x = 2,017.49 × 832.46
4. Step 4: Simplify right side
   1,461.98x = 1,679,480.61
5. Step 5: Solve for x
   x = 1,679,480.61/1,461.98
6. Step 6: Final answer
   x = 1,148.77