Finding the Fourth Proportional to 2,085.68, 3,126.58 and 786.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.68 : 3,126.58 = 786.28 : x
2. Step 2: Convert to fraction form
   2,085.68/3,126.58 = 786.28/x
3. Step 3: Cross multiply
   2,085.68x = 3,126.58 × 786.28
4. Step 4: Simplify right side
   2,085.68x = 2,458,367.32
5. Step 5: Solve for x
   x = 2,458,367.32/2,085.68
6. Step 6: Final answer
   x = 1,178.69