Finding the Fourth Proportional to 9,969.65, 13,758.15 and 5,493.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.65 : 13,758.15 = 5,493.30 : x
2. Step 2: Convert to fraction form
   9,969.65/13,758.15 = 5,493.30/x
3. Step 3: Cross multiply
   9,969.65x = 13,758.15 × 5,493.30
4. Step 4: Simplify right side
   9,969.65x = 75,577,645.40
5. Step 5: Solve for x
   x = 75,577,645.40/9,969.65
6. Step 6: Final answer
   x = 7,580.78