Finding the Fourth Proportional to 6,536.50, 9,020.37 and 3,742.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,536.50 : 9,020.37 = 3,742.54 : x
2. Step 2: Convert to fraction form
   6,536.50/9,020.37 = 3,742.54/x
3. Step 3: Cross multiply
   6,536.50x = 9,020.37 × 3,742.54
4. Step 4: Simplify right side
   6,536.50x = 33,759,095.54
5. Step 5: Solve for x
   x = 33,759,095.54/6,536.50
6. Step 6: Final answer
   x = 5,164.71