Finding the Fourth Proportional to 9,401.99, 12,965.75 and 5,624.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.99 : 12,965.75 = 5,624.52 : x
2. Step 2: Convert to fraction form
   9,401.99/12,965.75 = 5,624.52/x
3. Step 3: Cross multiply
   9,401.99x = 12,965.75 × 5,624.52
4. Step 4: Simplify right side
   9,401.99x = 72,926,120.19
5. Step 5: Solve for x
   x = 72,926,120.19/9,401.99
6. Step 6: Final answer
   x = 7,756.46