Finding the Fourth Proportional to 9,189.06, 12,667.23 and 5,649.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.06 : 12,667.23 = 5,649.54 : x
2. Step 2: Convert to fraction form
   9,189.06/12,667.23 = 5,649.54/x
3. Step 3: Cross multiply
   9,189.06x = 12,667.23 × 5,649.54
4. Step 4: Simplify right side
   9,189.06x = 71,564,022.57
5. Step 5: Solve for x
   x = 71,564,022.57/9,189.06
6. Step 6: Final answer
   x = 7,787.96