Finding the Fourth Proportional to 2,684.88, 3,705.12 and 1,506

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.88 : 3,705.12 = 1,506 : x
2. Step 2: Convert to fraction form
   2,684.88/3,705.12 = 1,506/x
3. Step 3: Cross multiply
   2,684.88x = 3,705.12 × 1,506
4. Step 4: Simplify right side
   2,684.88x = 5,579,910.72
5. Step 5: Solve for x
   x = 5,579,910.72/2,684.88
6. Step 6: Final answer
   x = 2,078.27