Finding the Fourth Proportional to 2,654.89, 3,664.22 and 1,535.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.89 : 3,664.22 = 1,535.65 : x
2. Step 2: Convert to fraction form
   2,654.89/3,664.22 = 1,535.65/x
3. Step 3: Cross multiply
   2,654.89x = 3,664.22 × 1,535.65
4. Step 4: Simplify right side
   2,654.89x = 5,626,942.60
5. Step 5: Solve for x
   x = 5,626,942.60/2,654.89
6. Step 6: Final answer
   x = 2,119.47