Finding the Fourth Proportional to 5,227.67, 7,836.69 and 2,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,227.67 : 7,836.69 = 2,264.25 : x
2. Step 2: Convert to fraction form
   5,227.67/7,836.69 = 2,264.25/x
3. Step 3: Cross multiply
   5,227.67x = 7,836.69 × 2,264.25
4. Step 4: Simplify right side
   5,227.67x = 17,744,225.33
5. Step 5: Solve for x
   x = 17,744,225.33/5,227.67
6. Step 6: Final answer
   x = 3,394.29