Finding the Fourth Proportional to 9,883.98, 14,827.14 and 3,642.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.98 : 14,827.14 = 3,642.48 : x
2. Step 2: Convert to fraction form
   9,883.98/14,827.14 = 3,642.48/x
3. Step 3: Cross multiply
   9,883.98x = 14,827.14 × 3,642.48
4. Step 4: Simplify right side
   9,883.98x = 54,007,560.91
5. Step 5: Solve for x
   x = 54,007,560.91/9,883.98
6. Step 6: Final answer
   x = 5,464.15