Finding the Fourth Proportional to 2,613.06, 3,606.12 and 1,564.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613.06 : 3,606.12 = 1,564.92 : x
2. Step 2: Convert to fraction form
   2,613.06/3,606.12 = 1,564.92/x
3. Step 3: Cross multiply
   2,613.06x = 3,606.12 × 1,564.92
4. Step 4: Simplify right side
   2,613.06x = 5,643,289.31
5. Step 5: Solve for x
   x = 5,643,289.31/2,613.06
6. Step 6: Final answer
   x = 2,159.65