Finding the Fourth Proportional to 9,895.81, 14,849.69 and 5,219.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.81 : 14,849.69 = 5,219.28 : x
2. Step 2: Convert to fraction form
   9,895.81/14,849.69 = 5,219.28/x
3. Step 3: Cross multiply
   9,895.81x = 14,849.69 × 5,219.28
4. Step 4: Simplify right side
   9,895.81x = 77,504,690.02
5. Step 5: Solve for x
   x = 77,504,690.02/9,895.81
6. Step 6: Final answer
   x = 7,832.07