Finding the Fourth Proportional to 10,941.50, 15,106.52 and 8,419.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,941.50 : 15,106.52 = 8,419.16 : x
2. Step 2: Convert to fraction form
   10,941.50/15,106.52 = 8,419.16/x
3. Step 3: Cross multiply
   10,941.50x = 15,106.52 × 8,419.16
4. Step 4: Simplify right side
   10,941.50x = 127,184,208.92
5. Step 5: Solve for x
   x = 127,184,208.92/10,941.50
6. Step 6: Final answer
   x = 11,624.02