Finding the Fourth Proportional to 9,969.86, 13,757.69 and 5,493.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.86 : 13,757.69 = 5,493.35 : x
2. Step 2: Convert to fraction form
   9,969.86/13,757.69 = 5,493.35/x
3. Step 3: Cross multiply
   9,969.86x = 13,757.69 × 5,493.35
4. Step 4: Simplify right side
   9,969.86x = 75,575,854.49
5. Step 5: Solve for x
   x = 75,575,854.49/9,969.86
6. Step 6: Final answer
   x = 7,580.43