Finding the Fourth Proportional to 9,729.82, 13,427.13 and 5,538.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.82 : 13,427.13 = 5,538.07 : x
2. Step 2: Convert to fraction form
   9,729.82/13,427.13 = 5,538.07/x
3. Step 3: Cross multiply
   9,729.82x = 13,427.13 × 5,538.07
4. Step 4: Simplify right side
   9,729.82x = 74,360,385.84
5. Step 5: Solve for x
   x = 74,360,385.84/9,729.82
6. Step 6: Final answer
   x = 7,642.52