Finding the Fourth Proportional to 9,788.93, 13,509.38 and 5,539.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.93 : 13,509.38 = 5,539.98 : x
2. Step 2: Convert to fraction form
   9,788.93/13,509.38 = 5,539.98/x
3. Step 3: Cross multiply
   9,788.93x = 13,509.38 × 5,539.98
4. Step 4: Simplify right side
   9,788.93x = 74,841,667.31
5. Step 5: Solve for x
   x = 74,841,667.31/9,788.93
6. Step 6: Final answer
   x = 7,645.55