Finding the Fourth Proportional to 9,380.35, 12,946.01 and 5,401.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.35 : 12,946.01 = 5,401.38 : x
2. Step 2: Convert to fraction form
   9,380.35/12,946.01 = 5,401.38/x
3. Step 3: Cross multiply
   9,380.35x = 12,946.01 × 5,401.38
4. Step 4: Simplify right side
   9,380.35x = 69,926,319.49
5. Step 5: Solve for x
   x = 69,926,319.49/9,380.35
6. Step 6: Final answer
   x = 7,454.55