Finding the Fourth Proportional to 9,730.02, 13,427.31 and 5,538.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730.02 : 13,427.31 = 5,538.24 : x
2. Step 2: Convert to fraction form
   9,730.02/13,427.31 = 5,538.24/x
3. Step 3: Cross multiply
   9,730.02x = 13,427.31 × 5,538.24
4. Step 4: Simplify right side
   9,730.02x = 74,363,665.33
5. Step 5: Solve for x
   x = 74,363,665.33/9,730.02
6. Step 6: Final answer
   x = 7,642.70