Finding the Fourth Proportional to 1,535.98, 2,119.62 and 872.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.98 : 2,119.62 = 872.86 : x
2. Step 2: Convert to fraction form
   1,535.98/2,119.62 = 872.86/x
3. Step 3: Cross multiply
   1,535.98x = 2,119.62 × 872.86
4. Step 4: Simplify right side
   1,535.98x = 1,850,131.51
5. Step 5: Solve for x
   x = 1,850,131.51/1,535.98
6. Step 6: Final answer
   x = 1,204.53