Finding the Fourth Proportional to 1,535.07, 2,118.10 and 871.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.07 : 2,118.10 = 871.83 : x
2. Step 2: Convert to fraction form
   1,535.07/2,118.10 = 871.83/x
3. Step 3: Cross multiply
   1,535.07x = 2,118.10 × 871.83
4. Step 4: Simplify right side
   1,535.07x = 1,846,620.94
5. Step 5: Solve for x
   x = 1,846,620.94/1,535.07
6. Step 6: Final answer
   x = 1,202.96