Finding the Fourth Proportional to 3,835.60, 5,744.88 and 3,742.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835.60 : 5,744.88 = 3,742.48 : x
2. Step 2: Convert to fraction form
   3,835.60/5,744.88 = 3,742.48/x
3. Step 3: Cross multiply
   3,835.60x = 5,744.88 × 3,742.48
4. Step 4: Simplify right side
   3,835.60x = 21,500,098.50
5. Step 5: Solve for x
   x = 21,500,098.50/3,835.60
6. Step 6: Final answer
   x = 5,605.41