Finding the Fourth Proportional to 9,962.14, 14,934.57 and 5,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.14 : 14,934.57 = 5,849.50 : x
2. Step 2: Convert to fraction form
   9,962.14/14,934.57 = 5,849.50/x
3. Step 3: Cross multiply
   9,962.14x = 14,934.57 × 5,849.50
4. Step 4: Simplify right side
   9,962.14x = 87,359,767.22
5. Step 5: Solve for x
   x = 87,359,767.22/9,962.14
6. Step 6: Final answer
   x = 8,769.18