Finding the Fourth Proportional to 1,375.35, 1,897.77 and 785.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.35 : 1,897.77 = 785.76 : x
2. Step 2: Convert to fraction form
   1,375.35/1,897.77 = 785.76/x
3. Step 3: Cross multiply
   1,375.35x = 1,897.77 × 785.76
4. Step 4: Simplify right side
   1,375.35x = 1,491,191.76
5. Step 5: Solve for x
   x = 1,491,191.76/1,375.35
6. Step 6: Final answer
   x = 1,084.23