Finding the Fourth Proportional to 2,684.50, 3,704.61 and 1,505.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.50 : 3,704.61 = 1,505.55 : x
2. Step 2: Convert to fraction form
   2,684.50/3,704.61 = 1,505.55/x
3. Step 3: Cross multiply
   2,684.50x = 3,704.61 × 1,505.55
4. Step 4: Simplify right side
   2,684.50x = 5,577,457.06
5. Step 5: Solve for x
   x = 5,577,457.06/2,684.50
6. Step 6: Final answer
   x = 2,077.65