Finding the Fourth Proportional to 10,774.12, 16,154.28 and 5,149.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774.12 : 16,154.28 = 5,149.48 : x
2. Step 2: Convert to fraction form
   10,774.12/16,154.28 = 5,149.48/x
3. Step 3: Cross multiply
   10,774.12x = 16,154.28 × 5,149.48
4. Step 4: Simplify right side
   10,774.12x = 83,186,141.77
5. Step 5: Solve for x
   x = 83,186,141.77/10,774.12
6. Step 6: Final answer
   x = 7,720.92