Finding the Fourth Proportional to 9,564.34, 13,196.37 and 5,582.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.34 : 13,196.37 = 5,582.92 : x
2. Step 2: Convert to fraction form
   9,564.34/13,196.37 = 5,582.92/x
3. Step 3: Cross multiply
   9,564.34x = 13,196.37 × 5,582.92
4. Step 4: Simplify right side
   9,564.34x = 73,674,278.00
5. Step 5: Solve for x
   x = 73,674,278.00/9,564.34
6. Step 6: Final answer
   x = 7,703.02