Finding the Fourth Proportional to 9,410.50, 12,986.34 and 5,161.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.50 : 12,986.34 = 5,161.66 : x
2. Step 2: Convert to fraction form
   9,410.50/12,986.34 = 5,161.66/x
3. Step 3: Cross multiply
   9,410.50x = 12,986.34 × 5,161.66
4. Step 4: Simplify right side
   9,410.50x = 67,031,071.72
5. Step 5: Solve for x
   x = 67,031,071.72/9,410.50
6. Step 6: Final answer
   x = 7,123.01