Finding the Fourth Proportional to 8,977.24, 12,386.72 and 5,200.19

Step by Step Solution

1. Step 1: Write the proportion equation
   8,977.24 : 12,386.72 = 5,200.19 : x
2. Step 2: Convert to fraction form
   8,977.24/12,386.72 = 5,200.19/x
3. Step 3: Cross multiply
   8,977.24x = 12,386.72 × 5,200.19
4. Step 4: Simplify right side
   8,977.24x = 64,413,297.48
5. Step 5: Solve for x
   x = 64,413,297.48/8,977.24
6. Step 6: Final answer
   x = 7,175.18