Finding the Fourth Proportional to 9,789.57, 13,509.72 and 5,597.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.57 : 13,509.72 = 5,597.82 : x
2. Step 2: Convert to fraction form
   9,789.57/13,509.72 = 5,597.82/x
3. Step 3: Cross multiply
   9,789.57x = 13,509.72 × 5,597.82
4. Step 4: Simplify right side
   9,789.57x = 75,624,980.81
5. Step 5: Solve for x
   x = 75,624,980.81/9,789.57
6. Step 6: Final answer
   x = 7,725.06