Finding the Fourth Proportional to 2,111.36, 3,153.87 and 1,564.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.36 : 3,153.87 = 1,564.61 : x
2. Step 2: Convert to fraction form
   2,111.36/3,153.87 = 1,564.61/x
3. Step 3: Cross multiply
   2,111.36x = 3,153.87 × 1,564.61
4. Step 4: Simplify right side
   2,111.36x = 4,934,576.54
5. Step 5: Solve for x
   x = 4,934,576.54/2,111.36
6. Step 6: Final answer
   x = 2,337.16