Finding the Fourth Proportional to 1,374.57, 1,896.82 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.57 : 1,896.82 = 785.30 : x
2. Step 2: Convert to fraction form
   1,374.57/1,896.82 = 785.30/x
3. Step 3: Cross multiply
   1,374.57x = 1,896.82 × 785.30
4. Step 4: Simplify right side
   1,374.57x = 1,489,561.30
5. Step 5: Solve for x
   x = 1,489,561.30/1,374.57
6. Step 6: Final answer
   x = 1,083.66