Finding the Fourth Proportional to 11,667.40, 17,496.54 and 5,089.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,667.40 : 17,496.54 = 5,089.09 : x
2. Step 2: Convert to fraction form
   11,667.40/17,496.54 = 5,089.09/x
3. Step 3: Cross multiply
   11,667.40x = 17,496.54 × 5,089.09
4. Step 4: Simplify right side
   11,667.40x = 89,041,466.75
5. Step 5: Solve for x
   x = 89,041,466.75/11,667.40
6. Step 6: Final answer
   x = 7,631.65