Finding the Fourth Proportional to 1,535.69, 2,119.27 and 872.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.69 : 2,119.27 = 872.56 : x
2. Step 2: Convert to fraction form
   1,535.69/2,119.27 = 872.56/x
3. Step 3: Cross multiply
   1,535.69x = 2,119.27 × 872.56
4. Step 4: Simplify right side
   1,535.69x = 1,849,190.23
5. Step 5: Solve for x
   x = 1,849,190.23/1,535.69
6. Step 6: Final answer
   x = 1,204.14