Finding the Fourth Proportional to 19,665.14, 29,493.16 and 5,624.81

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665.14 : 29,493.16 = 5,624.81 : x
2. Step 2: Convert to fraction form
   19,665.14/29,493.16 = 5,624.81/x
3. Step 3: Cross multiply
   19,665.14x = 29,493.16 × 5,624.81
4. Step 4: Simplify right side
   19,665.14x = 165,893,421.30
5. Step 5: Solve for x
   x = 165,893,421.30/19,665.14
6. Step 6: Final answer
   x = 8,435.91