Finding the Fourth Proportional to 3,892.68, 5,368.27 and 2,564.08

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.68 : 5,368.27 = 2,564.08 : x
2. Step 2: Convert to fraction form
   3,892.68/5,368.27 = 2,564.08/x
3. Step 3: Cross multiply
   3,892.68x = 5,368.27 × 2,564.08
4. Step 4: Simplify right side
   3,892.68x = 13,764,646.90
5. Step 5: Solve for x
   x = 13,764,646.90/3,892.68
6. Step 6: Final answer
   x = 3,536.03