Finding the Fourth Proportional to 11,564.06, 17,351.46 and 3,667.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.06 : 17,351.46 = 3,667.82 : x
2. Step 2: Convert to fraction form
   11,564.06/17,351.46 = 3,667.82/x
3. Step 3: Cross multiply
   11,564.06x = 17,351.46 × 3,667.82
4. Step 4: Simplify right side
   11,564.06x = 63,641,945.26
5. Step 5: Solve for x
   x = 63,641,945.26/11,564.06
6. Step 6: Final answer
   x = 5,503.43