Finding the Fourth Proportional to 6,910.31, 9,536.23 and 3,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.31 : 9,536.23 = 3,766.50 : x
2. Step 2: Convert to fraction form
   6,910.31/9,536.23 = 3,766.50/x
3. Step 3: Cross multiply
   6,910.31x = 9,536.23 × 3,766.50
4. Step 4: Simplify right side
   6,910.31x = 35,918,215.00
5. Step 5: Solve for x
   x = 35,918,215.00/6,910.31
6. Step 6: Final answer
   x = 5,197.77