Finding the Fourth Proportional to 9,345.41, 12,895.61 and 5,567.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.41 : 12,895.61 = 5,567.84 : x
2. Step 2: Convert to fraction form
   9,345.41/12,895.61 = 5,567.84/x
3. Step 3: Cross multiply
   9,345.41x = 12,895.61 × 5,567.84
4. Step 4: Simplify right side
   9,345.41x = 71,800,649.22
5. Step 5: Solve for x
   x = 71,800,649.22/9,345.41
6. Step 6: Final answer
   x = 7,682.99