Finding the Fourth Proportional to 2,084.41, 3,123.78 and 785.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.41 : 3,123.78 = 785.17 : x
2. Step 2: Convert to fraction form
   2,084.41/3,123.78 = 785.17/x
3. Step 3: Cross multiply
   2,084.41x = 3,123.78 × 785.17
4. Step 4: Simplify right side
   2,084.41x = 2,452,698.34
5. Step 5: Solve for x
   x = 2,452,698.34/2,084.41
6. Step 6: Final answer
   x = 1,176.69