Finding the Fourth Proportional to 13,026.42, 19,538.10 and 3,667.14

Step by Step Solution

1. Step 1: Write the proportion equation
   13,026.42 : 19,538.10 = 3,667.14 : x
2. Step 2: Convert to fraction form
   13,026.42/19,538.10 = 3,667.14/x
3. Step 3: Cross multiply
   13,026.42x = 19,538.10 × 3,667.14
4. Step 4: Simplify right side
   13,026.42x = 71,648,948.03
5. Step 5: Solve for x
   x = 71,648,948.03/13,026.42
6. Step 6: Final answer
   x = 5,500.28