Finding the Fourth Proportional to 9,140.74, 12,614.82 and 5,161.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.74 : 12,614.82 = 5,161.96 : x
2. Step 2: Convert to fraction form
   9,140.74/12,614.82 = 5,161.96/x
3. Step 3: Cross multiply
   9,140.74x = 12,614.82 × 5,161.96
4. Step 4: Simplify right side
   9,140.74x = 65,117,196.25
5. Step 5: Solve for x
   x = 65,117,196.25/9,140.74
6. Step 6: Final answer
   x = 7,123.84