Finding the Fourth Proportional to 9,341.82, 12,890.67 and 5,564.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,341.82 : 12,890.67 = 5,564.46 : x
2. Step 2: Convert to fraction form
   9,341.82/12,890.67 = 5,564.46/x
3. Step 3: Cross multiply
   9,341.82x = 12,890.67 × 5,564.46
4. Step 4: Simplify right side
   9,341.82x = 71,729,617.59
5. Step 5: Solve for x
   x = 71,729,617.59/9,341.82
6. Step 6: Final answer
   x = 7,678.33