Finding the Fourth Proportional to 9,516.14, 14,290.54 and 5,839.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.14 : 14,290.54 = 5,839.95 : x
2. Step 2: Convert to fraction form
   9,516.14/14,290.54 = 5,839.95/x
3. Step 3: Cross multiply
   9,516.14x = 14,290.54 × 5,839.95
4. Step 4: Simplify right side
   9,516.14x = 83,456,024.47
5. Step 5: Solve for x
   x = 83,456,024.47/9,516.14
6. Step 6: Final answer
   x = 8,769.95