Finding the Fourth Proportional to 2,564.89, 3,848.96 and 1,471.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.89 : 3,848.96 = 1,471.39 : x
2. Step 2: Convert to fraction form
   2,564.89/3,848.96 = 1,471.39/x
3. Step 3: Cross multiply
   2,564.89x = 3,848.96 × 1,471.39
4. Step 4: Simplify right side
   2,564.89x = 5,663,321.25
5. Step 5: Solve for x
   x = 5,663,321.25/2,564.89
6. Step 6: Final answer
   x = 2,208.02