Finding the Fourth Proportional to 2,084.06, 3,126.64 and 785.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.06 : 3,126.64 = 785.54 : x
2. Step 2: Convert to fraction form
   2,084.06/3,126.64 = 785.54/x
3. Step 3: Cross multiply
   2,084.06x = 3,126.64 × 785.54
4. Step 4: Simplify right side
   2,084.06x = 2,456,100.79
5. Step 5: Solve for x
   x = 2,456,100.79/2,084.06
6. Step 6: Final answer
   x = 1,178.52