Finding the Fourth Proportional to 9,404.80, 12,977.72 and 5,627.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404.80 : 12,977.72 = 5,627.20 : x
2. Step 2: Convert to fraction form
   9,404.80/12,977.72 = 5,627.20/x
3. Step 3: Cross multiply
   9,404.80x = 12,977.72 × 5,627.20
4. Step 4: Simplify right side
   9,404.80x = 73,028,225.98
5. Step 5: Solve for x
   x = 73,028,225.98/9,404.80
6. Step 6: Final answer
   x = 7,765.00