Finding the Fourth Proportional to 9,401.54, 12,974.12 and 5,624.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.54 : 12,974.12 = 5,624.86 : x
2. Step 2: Convert to fraction form
   9,401.54/12,974.12 = 5,624.86/x
3. Step 3: Cross multiply
   9,401.54x = 12,974.12 × 5,624.86
4. Step 4: Simplify right side
   9,401.54x = 72,977,548.06
5. Step 5: Solve for x
   x = 72,977,548.06/9,401.54
6. Step 6: Final answer
   x = 7,762.30