Finding the Fourth Proportional to 11,827.49, 17,745.35 and 5,258.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,827.49 : 17,745.35 = 5,258.30 : x
2. Step 2: Convert to fraction form
   11,827.49/17,745.35 = 5,258.30/x
3. Step 3: Cross multiply
   11,827.49x = 17,745.35 × 5,258.30
4. Step 4: Simplify right side
   11,827.49x = 93,310,258.89
5. Step 5: Solve for x
   x = 93,310,258.89/11,827.49
6. Step 6: Final answer
   x = 7,889.27