Finding the Fourth Proportional to 1,375.05, 1,897.59 and 785.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.05 : 1,897.59 = 785.77 : x
2. Step 2: Convert to fraction form
   1,375.05/1,897.59 = 785.77/x
3. Step 3: Cross multiply
   1,375.05x = 1,897.59 × 785.77
4. Step 4: Simplify right side
   1,375.05x = 1,491,069.29
5. Step 5: Solve for x
   x = 1,491,069.29/1,375.05
6. Step 6: Final answer
   x = 1,084.37