Finding the Fourth Proportional to 2,685.36, 3,705.78 and 1,506.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.36 : 3,705.78 = 1,506.43 : x
2. Step 2: Convert to fraction form
   2,685.36/3,705.78 = 1,506.43/x
3. Step 3: Cross multiply
   2,685.36x = 3,705.78 × 1,506.43
4. Step 4: Simplify right side
   2,685.36x = 5,582,498.17
5. Step 5: Solve for x
   x = 5,582,498.17/2,685.36
6. Step 6: Final answer
   x = 2,078.86