Finding the Fourth Proportional to 10,842.96, 16,266.73 and 3,822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,842.96 : 16,266.73 = 3,822.69 : x
2. Step 2: Convert to fraction form
   10,842.96/16,266.73 = 3,822.69/x
3. Step 3: Cross multiply
   10,842.96x = 16,266.73 × 3,822.69
4. Step 4: Simplify right side
   10,842.96x = 62,182,666.10
5. Step 5: Solve for x
   x = 62,182,666.10/10,842.96
6. Step 6: Final answer
   x = 5,734.84