Finding the Fourth Proportional to 1,535.82, 2,119.35 and 872.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.82 : 2,119.35 = 872.76 : x
2. Step 2: Convert to fraction form
   1,535.82/2,119.35 = 872.76/x
3. Step 3: Cross multiply
   1,535.82x = 2,119.35 × 872.76
4. Step 4: Simplify right side
   1,535.82x = 1,849,683.91
5. Step 5: Solve for x
   x = 1,849,683.91/1,535.82
6. Step 6: Final answer
   x = 1,204.36