Finding the Fourth Proportional to 9,788.82, 13,506.18 and 5,540

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.82 : 13,506.18 = 5,540 : x
2. Step 2: Convert to fraction form
   9,788.82/13,506.18 = 5,540/x
3. Step 3: Cross multiply
   9,788.82x = 13,506.18 × 5,540
4. Step 4: Simplify right side
   9,788.82x = 74,824,237.20
5. Step 5: Solve for x
   x = 74,824,237.20/9,788.82
6. Step 6: Final answer
   x = 7,643.85