Finding the Fourth Proportional to 10,977.20, 15,148.46 and 5,941.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,977.20 : 15,148.46 = 5,941.42 : x
2. Step 2: Convert to fraction form
   10,977.20/15,148.46 = 5,941.42/x
3. Step 3: Cross multiply
   10,977.20x = 15,148.46 × 5,941.42
4. Step 4: Simplify right side
   10,977.20x = 90,003,363.21
5. Step 5: Solve for x
   x = 90,003,363.21/10,977.20
6. Step 6: Final answer
   x = 8,199.12