Finding the Fourth Proportional to 7,022.56, 9,691.09 and 3,835.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,022.56 : 9,691.09 = 3,835.89 : x
2. Step 2: Convert to fraction form
   7,022.56/9,691.09 = 3,835.89/x
3. Step 3: Cross multiply
   7,022.56x = 9,691.09 × 3,835.89
4. Step 4: Simplify right side
   7,022.56x = 37,173,955.22
5. Step 5: Solve for x
   x = 37,173,955.22/7,022.56
6. Step 6: Final answer
   x = 5,293.50