Finding the Fourth Proportional to 10,017.02, 13,823.73 and 5,540.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.02 : 13,823.73 = 5,540.82 : x
2. Step 2: Convert to fraction form
   10,017.02/13,823.73 = 5,540.82/x
3. Step 3: Cross multiply
   10,017.02x = 13,823.73 × 5,540.82
4. Step 4: Simplify right side
   10,017.02x = 76,594,799.66
5. Step 5: Solve for x
   x = 76,594,799.66/10,017.02
6. Step 6: Final answer
   x = 7,646.47