Finding the Fourth Proportional to 2,541.16, 3,806.62 and 1,564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.16 : 3,806.62 = 1,564.52 : x
2. Step 2: Convert to fraction form
   2,541.16/3,806.62 = 1,564.52/x
3. Step 3: Cross multiply
   2,541.16x = 3,806.62 × 1,564.52
4. Step 4: Simplify right side
   2,541.16x = 5,955,533.12
5. Step 5: Solve for x
   x = 5,955,533.12/2,541.16
6. Step 6: Final answer
   x = 2,343.63