Finding the Fourth Proportional to 11,650, 17,462.79 and 5,074.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,650 : 17,462.79 = 5,074.42 : x
2. Step 2: Convert to fraction form
   11,650/17,462.79 = 5,074.42/x
3. Step 3: Cross multiply
   11,650x = 17,462.79 × 5,074.42
4. Step 4: Simplify right side
   11,650x = 88,613,530.83
5. Step 5: Solve for x
   x = 88,613,530.83/11,650
6. Step 6: Final answer
   x = 7,606.31