Finding the Fourth Proportional to 2,084.66, 3,123.75 and 785.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.66 : 3,123.75 = 785.42 : x
2. Step 2: Convert to fraction form
   2,084.66/3,123.75 = 785.42/x
3. Step 3: Cross multiply
   2,084.66x = 3,123.75 × 785.42
4. Step 4: Simplify right side
   2,084.66x = 2,453,455.73
5. Step 5: Solve for x
   x = 2,453,455.73/2,084.66
6. Step 6: Final answer
   x = 1,176.91