Finding the Fourth Proportional to 1,534.83, 2,118.06 and 871.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.83 : 2,118.06 = 871.55 : x
2. Step 2: Convert to fraction form
   1,534.83/2,118.06 = 871.55/x
3. Step 3: Cross multiply
   1,534.83x = 2,118.06 × 871.55
4. Step 4: Simplify right side
   1,534.83x = 1,845,995.19
5. Step 5: Solve for x
   x = 1,845,995.19/1,534.83
6. Step 6: Final answer
   x = 1,202.74