Finding the Fourth Proportional to 9,569.29, 13,206.45 and 5,591.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.29 : 13,206.45 = 5,591.68 : x
2. Step 2: Convert to fraction form
   9,569.29/13,206.45 = 5,591.68/x
3. Step 3: Cross multiply
   9,569.29x = 13,206.45 × 5,591.68
4. Step 4: Simplify right side
   9,569.29x = 73,846,242.34
5. Step 5: Solve for x
   x = 73,846,242.34/9,569.29
6. Step 6: Final answer
   x = 7,717.00