Finding the Fourth Proportional to 9,341.25, 12,890.31 and 5,564.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,341.25 : 12,890.31 = 5,564.69 : x
2. Step 2: Convert to fraction form
   9,341.25/12,890.31 = 5,564.69/x
3. Step 3: Cross multiply
   9,341.25x = 12,890.31 × 5,564.69
4. Step 4: Simplify right side
   9,341.25x = 71,730,579.15
5. Step 5: Solve for x
   x = 71,730,579.15/9,341.25
6. Step 6: Final answer
   x = 7,678.91