Finding the Fourth Proportional to 1,375.20, 1,897.56 and 785.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.20 : 1,897.56 = 785.70 : x
2. Step 2: Convert to fraction form
   1,375.20/1,897.56 = 785.70/x
3. Step 3: Cross multiply
   1,375.20x = 1,897.56 × 785.70
4. Step 4: Simplify right side
   1,375.20x = 1,490,912.89
5. Step 5: Solve for x
   x = 1,490,912.89/1,375.20
6. Step 6: Final answer
   x = 1,084.14