Finding the Fourth Proportional to 2,685.53, 3,706.05 and 1,506.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.53 : 3,706.05 = 1,506.57 : x
2. Step 2: Convert to fraction form
   2,685.53/3,706.05 = 1,506.57/x
3. Step 3: Cross multiply
   2,685.53x = 3,706.05 × 1,506.57
4. Step 4: Simplify right side
   2,685.53x = 5,583,423.75
5. Step 5: Solve for x
   x = 5,583,423.75/2,685.53
6. Step 6: Final answer
   x = 2,079.08