Finding the Fourth Proportional to 9,969.84, 13,758.72 and 5,493.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.84 : 13,758.72 = 5,493.90 : x
2. Step 2: Convert to fraction form
   9,969.84/13,758.72 = 5,493.90/x
3. Step 3: Cross multiply
   9,969.84x = 13,758.72 × 5,493.90
4. Step 4: Simplify right side
   9,969.84x = 75,589,031.81
5. Step 5: Solve for x
   x = 75,589,031.81/9,969.84
6. Step 6: Final answer
   x = 7,581.77