Finding the Fourth Proportional to 1,461.60, 2,017.56 and 871.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.60 : 2,017.56 = 871.92 : x
2. Step 2: Convert to fraction form
   1,461.60/2,017.56 = 871.92/x
3. Step 3: Cross multiply
   1,461.60x = 2,017.56 × 871.92
4. Step 4: Simplify right side
   1,461.60x = 1,759,150.92
5. Step 5: Solve for x
   x = 1,759,150.92/1,461.60
6. Step 6: Final answer
   x = 1,203.58