Finding the Fourth Proportional to 1,642.89, 2,265.39 and 1,082.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.89 : 2,265.39 = 1,082.64 : x
2. Step 2: Convert to fraction form
   1,642.89/2,265.39 = 1,082.64/x
3. Step 3: Cross multiply
   1,642.89x = 2,265.39 × 1,082.64
4. Step 4: Simplify right side
   1,642.89x = 2,452,601.83
5. Step 5: Solve for x
   x = 2,452,601.83/1,642.89
6. Step 6: Final answer
   x = 1,492.86