Finding the Fourth Proportional to 9,200.26, 12,696.66 and 5,167.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200.26 : 12,696.66 = 5,167.80 : x
2. Step 2: Convert to fraction form
   9,200.26/12,696.66 = 5,167.80/x
3. Step 3: Cross multiply
   9,200.26x = 12,696.66 × 5,167.80
4. Step 4: Simplify right side
   9,200.26x = 65,613,799.55
5. Step 5: Solve for x
   x = 65,613,799.55/9,200.26
6. Step 6: Final answer
   x = 7,131.74