Finding the Fourth Proportional to 1,375.14, 1,897.92 and 785.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.14 : 1,897.92 = 785.86 : x
2. Step 2: Convert to fraction form
   1,375.14/1,897.92 = 785.86/x
3. Step 3: Cross multiply
   1,375.14x = 1,897.92 × 785.86
4. Step 4: Simplify right side
   1,375.14x = 1,491,499.41
5. Step 5: Solve for x
   x = 1,491,499.41/1,375.14
6. Step 6: Final answer
   x = 1,084.62