Finding the Fourth Proportional to 9,514.78, 13,130.06 and 5,266.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.78 : 13,130.06 = 5,266.02 : x
2. Step 2: Convert to fraction form
   9,514.78/13,130.06 = 5,266.02/x
3. Step 3: Cross multiply
   9,514.78x = 13,130.06 × 5,266.02
4. Step 4: Simplify right side
   9,514.78x = 69,143,092.91
5. Step 5: Solve for x
   x = 69,143,092.91/9,514.78
6. Step 6: Final answer
   x = 7,266.92