Finding the Fourth Proportional to 1,534.78, 2,118.16 and 871.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.78 : 2,118.16 = 871.82 : x
2. Step 2: Convert to fraction form
   1,534.78/2,118.16 = 871.82/x
3. Step 3: Cross multiply
   1,534.78x = 2,118.16 × 871.82
4. Step 4: Simplify right side
   1,534.78x = 1,846,654.25
5. Step 5: Solve for x
   x = 1,846,654.25/1,534.78
6. Step 6: Final answer
   x = 1,203.20