Finding the Fourth Proportional to 3,835.74, 5,290.56 and 3,522

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835.74 : 5,290.56 = 3,522 : x
2. Step 2: Convert to fraction form
   3,835.74/5,290.56 = 3,522/x
3. Step 3: Cross multiply
   3,835.74x = 5,290.56 × 3,522
4. Step 4: Simplify right side
   3,835.74x = 18,633,352.32
5. Step 5: Solve for x
   x = 18,633,352.32/3,835.74
6. Step 6: Final answer
   x = 4,857.82