Finding the Fourth Proportional to 9,514.56, 13,127.52 and 5,785.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.56 : 13,127.52 = 5,785.92 : x
2. Step 2: Convert to fraction form
   9,514.56/13,127.52 = 5,785.92/x
3. Step 3: Cross multiply
   9,514.56x = 13,127.52 × 5,785.92
4. Step 4: Simplify right side
   9,514.56x = 75,954,780.52
5. Step 5: Solve for x
   x = 75,954,780.52/9,514.56
6. Step 6: Final answer
   x = 7,983.01