Finding the Fourth Proportional to 21,706.38, 32,564.43 and 7,667.46

Step by Step Solution

1. Step 1: Write the proportion equation
   21,706.38 : 32,564.43 = 7,667.46 : x
2. Step 2: Convert to fraction form
   21,706.38/32,564.43 = 7,667.46/x
3. Step 3: Cross multiply
   21,706.38x = 32,564.43 × 7,667.46
4. Step 4: Simplify right side
   21,706.38x = 249,686,464.45
5. Step 5: Solve for x
   x = 249,686,464.45/21,706.38
6. Step 6: Final answer
   x = 11,502.91