Finding the Fourth Proportional to 1,543.59, 2,130.20 and 871.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.59 : 2,130.20 = 871.46 : x
2. Step 2: Convert to fraction form
   1,543.59/2,130.20 = 871.46/x
3. Step 3: Cross multiply
   1,543.59x = 2,130.20 × 871.46
4. Step 4: Simplify right side
   1,543.59x = 1,856,380.34
5. Step 5: Solve for x
   x = 1,856,380.34/1,543.59
6. Step 6: Final answer
   x = 1,202.64