Finding the Fourth Proportional to 10,774.41, 16,166.48 and 5,506.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774.41 : 16,166.48 = 5,506.17 : x
2. Step 2: Convert to fraction form
   10,774.41/16,166.48 = 5,506.17/x
3. Step 3: Cross multiply
   10,774.41x = 16,166.48 × 5,506.17
4. Step 4: Simplify right side
   10,774.41x = 89,015,359.65
5. Step 5: Solve for x
   x = 89,015,359.65/10,774.41
6. Step 6: Final answer
   x = 8,261.74