Finding the Fourth Proportional to 10,762.62, 16,145.55 and 3,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,762.62 : 16,145.55 = 3,835.50 : x
2. Step 2: Convert to fraction form
   10,762.62/16,145.55 = 3,835.50/x
3. Step 3: Cross multiply
   10,762.62x = 16,145.55 × 3,835.50
4. Step 4: Simplify right side
   10,762.62x = 61,926,257.03
5. Step 5: Solve for x
   x = 61,926,257.03/10,762.62
6. Step 6: Final answer
   x = 5,753.83