Finding the Fourth Proportional to 10,775.52, 16,149.84 and 3,842.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,775.52 : 16,149.84 = 3,842.40 : x
2. Step 2: Convert to fraction form
   10,775.52/16,149.84 = 3,842.40/x
3. Step 3: Cross multiply
   10,775.52x = 16,149.84 × 3,842.40
4. Step 4: Simplify right side
   10,775.52x = 62,054,145.22
5. Step 5: Solve for x
   x = 62,054,145.22/10,775.52
6. Step 6: Final answer
   x = 5,758.81