Finding the Fourth Proportional to 1,375.29, 1,897.40 and 785.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.29 : 1,897.40 = 785.49 : x
2. Step 2: Convert to fraction form
   1,375.29/1,897.40 = 785.49/x
3. Step 3: Cross multiply
   1,375.29x = 1,897.40 × 785.49
4. Step 4: Simplify right side
   1,375.29x = 1,490,383.57
5. Step 5: Solve for x
   x = 1,490,383.57/1,375.29
6. Step 6: Final answer
   x = 1,083.69