Finding the Fourth Proportional to 1,534.98, 2,118.24 and 871.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.98 : 2,118.24 = 871.86 : x
2. Step 2: Convert to fraction form
   1,534.98/2,118.24 = 871.86/x
3. Step 3: Cross multiply
   1,534.98x = 2,118.24 × 871.86
4. Step 4: Simplify right side
   1,534.98x = 1,846,808.73
5. Step 5: Solve for x
   x = 1,846,808.73/1,534.98
6. Step 6: Final answer
   x = 1,203.15