Finding the Fourth Proportional to 9,965.16, 13,751.86 and 5,488.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.16 : 13,751.86 = 5,488.80 : x
2. Step 2: Convert to fraction form
   9,965.16/13,751.86 = 5,488.80/x
3. Step 3: Cross multiply
   9,965.16x = 13,751.86 × 5,488.80
4. Step 4: Simplify right side
   9,965.16x = 75,481,209.17
5. Step 5: Solve for x
   x = 75,481,209.17/9,965.16
6. Step 6: Final answer
   x = 7,574.51