Finding the Fourth Proportional to 2,685.78, 3,706.46 and 1,506.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.78 : 3,706.46 = 1,506.89 : x
2. Step 2: Convert to fraction form
   2,685.78/3,706.46 = 1,506.89/x
3. Step 3: Cross multiply
   2,685.78x = 3,706.46 × 1,506.89
4. Step 4: Simplify right side
   2,685.78x = 5,585,234.89
5. Step 5: Solve for x
   x = 5,585,234.89/2,685.78
6. Step 6: Final answer
   x = 2,079.56