Finding the Fourth Proportional to 2,706.86, 3,735.46 and 1,464.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.86 : 3,735.46 = 1,464.86 : x
2. Step 2: Convert to fraction form
   2,706.86/3,735.46 = 1,464.86/x
3. Step 3: Cross multiply
   2,706.86x = 3,735.46 × 1,464.86
4. Step 4: Simplify right side
   2,706.86x = 5,471,909.81
5. Step 5: Solve for x
   x = 5,471,909.81/2,706.86
6. Step 6: Final answer
   x = 2,021.50