Finding the Fourth Proportional to 9,514.77, 13,128.01 and 5,740.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.77 : 13,128.01 = 5,740.17 : x
2. Step 2: Convert to fraction form
   9,514.77/13,128.01 = 5,740.17/x
3. Step 3: Cross multiply
   9,514.77x = 13,128.01 × 5,740.17
4. Step 4: Simplify right side
   9,514.77x = 75,356,945.58
5. Step 5: Solve for x
   x = 75,356,945.58/9,514.77
6. Step 6: Final answer
   x = 7,920.00