Finding the Fourth Proportional to 2,564.67, 3,848.07 and 1,084.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.67 : 3,848.07 = 1,084.26 : x
2. Step 2: Convert to fraction form
   2,564.67/3,848.07 = 1,084.26/x
3. Step 3: Cross multiply
   2,564.67x = 3,848.07 × 1,084.26
4. Step 4: Simplify right side
   2,564.67x = 4,172,308.38
5. Step 5: Solve for x
   x = 4,172,308.38/2,564.67
6. Step 6: Final answer
   x = 1,626.84