Finding the Fourth Proportional to 9,788.25, 13,507.89 and 5,539.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.25 : 13,507.89 = 5,539.35 : x
2. Step 2: Convert to fraction form
   9,788.25/13,507.89 = 5,539.35/x
3. Step 3: Cross multiply
   9,788.25x = 13,507.89 × 5,539.35
4. Step 4: Simplify right side
   9,788.25x = 74,824,930.47
5. Step 5: Solve for x
   x = 74,824,930.47/9,788.25
6. Step 6: Final answer
   x = 7,644.36