Finding the Fourth Proportional to 9,564.48, 14,342.04 and 5,667.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.48 : 14,342.04 = 5,667.84 : x
2. Step 2: Convert to fraction form
   9,564.48/14,342.04 = 5,667.84/x
3. Step 3: Cross multiply
   9,564.48x = 14,342.04 × 5,667.84
4. Step 4: Simplify right side
   9,564.48x = 81,288,387.99
5. Step 5: Solve for x
   x = 81,288,387.99/9,564.48
6. Step 6: Final answer
   x = 8,498.99