Finding the Fourth Proportional to 2,083.68, 2,875.20 and 1,152.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.68 : 2,875.20 = 1,152.24 : x
2. Step 2: Convert to fraction form
   2,083.68/2,875.20 = 1,152.24/x
3. Step 3: Cross multiply
   2,083.68x = 2,875.20 × 1,152.24
4. Step 4: Simplify right side
   2,083.68x = 3,312,920.45
5. Step 5: Solve for x
   x = 3,312,920.45/2,083.68
6. Step 6: Final answer
   x = 1,589.94