Finding the Fourth Proportional to 9,401.82, 12,974.64 and 5,152.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.82 : 12,974.64 = 5,152.81 : x
2. Step 2: Convert to fraction form
   9,401.82/12,974.64 = 5,152.81/x
3. Step 3: Cross multiply
   9,401.82x = 12,974.64 × 5,152.81
4. Step 4: Simplify right side
   9,401.82x = 66,855,854.74
5. Step 5: Solve for x
   x = 66,855,854.74/9,401.82
6. Step 6: Final answer
   x = 7,110.95