Finding the Fourth Proportional to 1,374.43, 1,896.78 and 785.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.43 : 1,896.78 = 785.16 : x
2. Step 2: Convert to fraction form
   1,374.43/1,896.78 = 785.16/x
3. Step 3: Cross multiply
   1,374.43x = 1,896.78 × 785.16
4. Step 4: Simplify right side
   1,374.43x = 1,489,275.78
5. Step 5: Solve for x
   x = 1,489,275.78/1,374.43
6. Step 6: Final answer
   x = 1,083.56