Finding the Fourth Proportional to 1,352.78, 1,866.72 and 785.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.78 : 1,866.72 = 785.72 : x
2. Step 2: Convert to fraction form
   1,352.78/1,866.72 = 785.72/x
3. Step 3: Cross multiply
   1,352.78x = 1,866.72 × 785.72
4. Step 4: Simplify right side
   1,352.78x = 1,466,719.24
5. Step 5: Solve for x
   x = 1,466,719.24/1,352.78
6. Step 6: Final answer
   x = 1,084.23