Finding the Fourth Proportional to 13,538.22, 18,681.47 and 7,569.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.22 : 18,681.47 = 7,569.06 : x
2. Step 2: Convert to fraction form
   13,538.22/18,681.47 = 7,569.06/x
3. Step 3: Cross multiply
   13,538.22x = 18,681.47 × 7,569.06
4. Step 4: Simplify right side
   13,538.22x = 141,401,167.32
5. Step 5: Solve for x
   x = 141,401,167.32/13,538.22
6. Step 6: Final answer
   x = 10,444.59