Finding the Fourth Proportional to 1,535.91, 2,119.59 and 872.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.91 : 2,119.59 = 872.75 : x
2. Step 2: Convert to fraction form
   1,535.91/2,119.59 = 872.75/x
3. Step 3: Cross multiply
   1,535.91x = 2,119.59 × 872.75
4. Step 4: Simplify right side
   1,535.91x = 1,849,861.57
5. Step 5: Solve for x
   x = 1,849,861.57/1,535.91
6. Step 6: Final answer
   x = 1,204.41