Finding the Fourth Proportional to 9,738.07, 13,435.32 and 5,488.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.07 : 13,435.32 = 5,488.61 : x
2. Step 2: Convert to fraction form
   9,738.07/13,435.32 = 5,488.61/x
3. Step 3: Cross multiply
   9,738.07x = 13,435.32 × 5,488.61
4. Step 4: Simplify right side
   9,738.07x = 73,741,229.81
5. Step 5: Solve for x
   x = 73,741,229.81/9,738.07
6. Step 6: Final answer
   x = 7,572.47