Finding the Fourth Proportional to 2,684.76, 3,704.50 and 1,505.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.76 : 3,704.50 = 1,505.88 : x
2. Step 2: Convert to fraction form
   2,684.76/3,704.50 = 1,505.88/x
3. Step 3: Cross multiply
   2,684.76x = 3,704.50 × 1,505.88
4. Step 4: Simplify right side
   2,684.76x = 5,578,532.46
5. Step 5: Solve for x
   x = 5,578,532.46/2,684.76
6. Step 6: Final answer
   x = 2,077.85