Finding the Fourth Proportional to 2,564.47, 3,844.32 and 1,392.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.47 : 3,844.32 = 1,392.76 : x
2. Step 2: Convert to fraction form
   2,564.47/3,844.32 = 1,392.76/x
3. Step 3: Cross multiply
   2,564.47x = 3,844.32 × 1,392.76
4. Step 4: Simplify right side
   2,564.47x = 5,354,215.12
5. Step 5: Solve for x
   x = 5,354,215.12/2,564.47
6. Step 6: Final answer
   x = 2,087.84