Finding the Fourth Proportional to 1,535.34, 2,118.45 and 872.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.34 : 2,118.45 = 872.05 : x
2. Step 2: Convert to fraction form
   1,535.34/2,118.45 = 872.05/x
3. Step 3: Cross multiply
   1,535.34x = 2,118.45 × 872.05
4. Step 4: Simplify right side
   1,535.34x = 1,847,394.32
5. Step 5: Solve for x
   x = 1,847,394.32/1,535.34
6. Step 6: Final answer
   x = 1,203.25