Finding the Fourth Proportional to 2,685.09, 3,705.43 and 1,506.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.09 : 3,705.43 = 1,506.16 : x
2. Step 2: Convert to fraction form
   2,685.09/3,705.43 = 1,506.16/x
3. Step 3: Cross multiply
   2,685.09x = 3,705.43 × 1,506.16
4. Step 4: Simplify right side
   2,685.09x = 5,580,970.45
5. Step 5: Solve for x
   x = 5,580,970.45/2,685.09
6. Step 6: Final answer
   x = 2,078.50