Finding the Fourth Proportional to 2,296.86, 3,443.82 and 1,564.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.86 : 3,443.82 = 1,564.20 : x
2. Step 2: Convert to fraction form
   2,296.86/3,443.82 = 1,564.20/x
3. Step 3: Cross multiply
   2,296.86x = 3,443.82 × 1,564.20
4. Step 4: Simplify right side
   2,296.86x = 5,386,823.24
5. Step 5: Solve for x
   x = 5,386,823.24/2,296.86
6. Step 6: Final answer
   x = 2,345.30