Finding the Fourth Proportional to 9,885.81, 14,819.21 and 3,642.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.81 : 14,819.21 = 3,642.42 : x
2. Step 2: Convert to fraction form
   9,885.81/14,819.21 = 3,642.42/x
3. Step 3: Cross multiply
   9,885.81x = 14,819.21 × 3,642.42
4. Step 4: Simplify right side
   9,885.81x = 53,977,768.68
5. Step 5: Solve for x
   x = 53,977,768.68/9,885.81
6. Step 6: Final answer
   x = 5,460.13