Finding the Fourth Proportional to 1,374.69, 1,897.38 and 785.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.69 : 1,897.38 = 785.28 : x
2. Step 2: Convert to fraction form
   1,374.69/1,897.38 = 785.28/x
3. Step 3: Cross multiply
   1,374.69x = 1,897.38 × 785.28
4. Step 4: Simplify right side
   1,374.69x = 1,489,974.57
5. Step 5: Solve for x
   x = 1,489,974.57/1,374.69
6. Step 6: Final answer
   x = 1,083.86