Finding the Fourth Proportional to 9,730.30, 13,428.49 and 5,538.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730.30 : 13,428.49 = 5,538.55 : x
2. Step 2: Convert to fraction form
   9,730.30/13,428.49 = 5,538.55/x
3. Step 3: Cross multiply
   9,730.30x = 13,428.49 × 5,538.55
4. Step 4: Simplify right side
   9,730.30x = 74,374,296.15
5. Step 5: Solve for x
   x = 74,374,296.15/9,730.30
6. Step 6: Final answer
   x = 7,643.58