Finding the Fourth Proportional to 6,911.89, 9,538.42 and 4,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.89 : 9,538.42 = 4,523.50 : x
2. Step 2: Convert to fraction form
   6,911.89/9,538.42 = 4,523.50/x
3. Step 3: Cross multiply
   6,911.89x = 9,538.42 × 4,523.50
4. Step 4: Simplify right side
   6,911.89x = 43,147,042.87
5. Step 5: Solve for x
   x = 43,147,042.87/6,911.89
6. Step 6: Final answer
   x = 6,242.44