Finding the Fourth Proportional to 9,446.82, 13,038.33 and 5,468.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,446.82 : 13,038.33 = 5,468.30 : x
2. Step 2: Convert to fraction form
   9,446.82/13,038.33 = 5,468.30/x
3. Step 3: Cross multiply
   9,446.82x = 13,038.33 × 5,468.30
4. Step 4: Simplify right side
   9,446.82x = 71,297,499.94
5. Step 5: Solve for x
   x = 71,297,499.94/9,446.82
6. Step 6: Final answer
   x = 7,547.25