Finding the Fourth Proportional to 2,084.50, 3,127.71 and 785.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.50 : 3,127.71 = 785.86 : x
2. Step 2: Convert to fraction form
   2,084.50/3,127.71 = 785.86/x
3. Step 3: Cross multiply
   2,084.50x = 3,127.71 × 785.86
4. Step 4: Simplify right side
   2,084.50x = 2,457,942.18
5. Step 5: Solve for x
   x = 2,457,942.18/2,084.50
6. Step 6: Final answer
   x = 1,179.15