Finding the Fourth Proportional to 1,535.18, 2,118.52 and 872.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.18 : 2,118.52 = 872.06 : x
2. Step 2: Convert to fraction form
   1,535.18/2,118.52 = 872.06/x
3. Step 3: Cross multiply
   1,535.18x = 2,118.52 × 872.06
4. Step 4: Simplify right side
   1,535.18x = 1,847,476.55
5. Step 5: Solve for x
   x = 1,847,476.55/1,535.18
6. Step 6: Final answer
   x = 1,203.43