Finding the Fourth Proportional to 9,883.55, 14,829.68 and 3,642.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.55 : 14,829.68 = 3,642.10 : x
2. Step 2: Convert to fraction form
   9,883.55/14,829.68 = 3,642.10/x
3. Step 3: Cross multiply
   9,883.55x = 14,829.68 × 3,642.10
4. Step 4: Simplify right side
   9,883.55x = 54,011,149.56
5. Step 5: Solve for x
   x = 54,011,149.56/9,883.55
6. Step 6: Final answer
   x = 5,464.75