Finding the Fourth Proportional to 2,084.10, 3,126.59 and 785.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.10 : 3,126.59 = 785.58 : x
2. Step 2: Convert to fraction form
   2,084.10/3,126.59 = 785.58/x
3. Step 3: Cross multiply
   2,084.10x = 3,126.59 × 785.58
4. Step 4: Simplify right side
   2,084.10x = 2,456,186.57
5. Step 5: Solve for x
   x = 2,456,186.57/2,084.10
6. Step 6: Final answer
   x = 1,178.54