Finding the Fourth Proportional to 9,735.57, 13,435.47 and 5,488.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735.57 : 13,435.47 = 5,488.38 : x
2. Step 2: Convert to fraction form
   9,735.57/13,435.47 = 5,488.38/x
3. Step 3: Cross multiply
   9,735.57x = 13,435.47 × 5,488.38
4. Step 4: Simplify right side
   9,735.57x = 73,738,964.84
5. Step 5: Solve for x
   x = 73,738,964.84/9,735.57
6. Step 6: Final answer
   x = 7,574.18