Finding the Fourth Proportional to 1,102.33, 1,654.77 and 871.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102.33 : 1,654.77 = 871.99 : x
2. Step 2: Convert to fraction form
   1,102.33/1,654.77 = 871.99/x
3. Step 3: Cross multiply
   1,102.33x = 1,654.77 × 871.99
4. Step 4: Simplify right side
   1,102.33x = 1,442,942.89
5. Step 5: Solve for x
   x = 1,442,942.89/1,102.33
6. Step 6: Final answer
   x = 1,308.99