Finding the Fourth Proportional to 9,729.86, 13,427.31 and 5,538.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.86 : 13,427.31 = 5,538.14 : x
2. Step 2: Convert to fraction form
   9,729.86/13,427.31 = 5,538.14/x
3. Step 3: Cross multiply
   9,729.86x = 13,427.31 × 5,538.14
4. Step 4: Simplify right side
   9,729.86x = 74,362,322.60
5. Step 5: Solve for x
   x = 74,362,322.60/9,729.86
6. Step 6: Final answer
   x = 7,642.69