Finding the Fourth Proportional to 7,019.82, 10,536.10 and 3,735.66

Step by Step Solution

1. Step 1: Write the proportion equation
   7,019.82 : 10,536.10 = 3,735.66 : x
2. Step 2: Convert to fraction form
   7,019.82/10,536.10 = 3,735.66/x
3. Step 3: Cross multiply
   7,019.82x = 10,536.10 × 3,735.66
4. Step 4: Simplify right side
   7,019.82x = 39,359,287.33
5. Step 5: Solve for x
   x = 39,359,287.33/7,019.82
6. Step 6: Final answer
   x = 5,606.88