Finding the Fourth Proportional to 2,701.86, 3,728.06 and 1,506.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,701.86 : 3,728.06 = 1,506.78 : x
2. Step 2: Convert to fraction form
   2,701.86/3,728.06 = 1,506.78/x
3. Step 3: Cross multiply
   2,701.86x = 3,728.06 × 1,506.78
4. Step 4: Simplify right side
   2,701.86x = 5,617,366.25
5. Step 5: Solve for x
   x = 5,617,366.25/2,701.86
6. Step 6: Final answer
   x = 2,079.07