Finding the Fourth Proportional to 2,085.84, 3,126.84 and 786.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.84 : 3,126.84 = 786.32 : x
2. Step 2: Convert to fraction form
   2,085.84/3,126.84 = 786.32/x
3. Step 3: Cross multiply
   2,085.84x = 3,126.84 × 786.32
4. Step 4: Simplify right side
   2,085.84x = 2,458,696.83
5. Step 5: Solve for x
   x = 2,458,696.83/2,085.84
6. Step 6: Final answer
   x = 1,178.76