Finding the Fourth Proportional to 2,613.20, 3,604.70 and 1,564.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613.20 : 3,604.70 = 1,564.65 : x
2. Step 2: Convert to fraction form
   2,613.20/3,604.70 = 1,564.65/x
3. Step 3: Cross multiply
   2,613.20x = 3,604.70 × 1,564.65
4. Step 4: Simplify right side
   2,613.20x = 5,640,097.77
5. Step 5: Solve for x
   x = 5,640,097.77/2,613.20
6. Step 6: Final answer
   x = 2,158.31