Finding the Fourth Proportional to 9,730.25, 13,427.76 and 5,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730.25 : 13,427.76 = 5,538.50 : x
2. Step 2: Convert to fraction form
   9,730.25/13,427.76 = 5,538.50/x
3. Step 3: Cross multiply
   9,730.25x = 13,427.76 × 5,538.50
4. Step 4: Simplify right side
   9,730.25x = 74,369,648.76
5. Step 5: Solve for x
   x = 74,369,648.76/9,730.25
6. Step 6: Final answer
   x = 7,643.14