Finding the Fourth Proportional to 9,736.10, 13,436.19 and 5,488.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.10 : 13,436.19 = 5,488.85 : x
2. Step 2: Convert to fraction form
   9,736.10/13,436.19 = 5,488.85/x
3. Step 3: Cross multiply
   9,736.10x = 13,436.19 × 5,488.85
4. Step 4: Simplify right side
   9,736.10x = 73,749,231.48
5. Step 5: Solve for x
   x = 73,749,231.48/9,736.10
6. Step 6: Final answer
   x = 7,574.82