Finding the Fourth Proportional to 2,685.20, 3,705.76 and 1,506.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.20 : 3,705.76 = 1,506.34 : x
2. Step 2: Convert to fraction form
   2,685.20/3,705.76 = 1,506.34/x
3. Step 3: Cross multiply
   2,685.20x = 3,705.76 × 1,506.34
4. Step 4: Simplify right side
   2,685.20x = 5,582,134.52
5. Step 5: Solve for x
   x = 5,582,134.52/2,685.20
6. Step 6: Final answer
   x = 2,078.85