Finding the Fourth Proportional to 1,227.71, 1,694.72 and 785.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.71 : 1,694.72 = 785.86 : x
2. Step 2: Convert to fraction form
   1,227.71/1,694.72 = 785.86/x
3. Step 3: Cross multiply
   1,227.71x = 1,694.72 × 785.86
4. Step 4: Simplify right side
   1,227.71x = 1,331,810.39
5. Step 5: Solve for x
   x = 1,331,810.39/1,227.71
6. Step 6: Final answer
   x = 1,084.79