Finding the Fourth Proportional to 9,314.22, 13,974.18 and 3,766.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.22 : 13,974.18 = 3,766.53 : x
2. Step 2: Convert to fraction form
   9,314.22/13,974.18 = 3,766.53/x
3. Step 3: Cross multiply
   9,314.22x = 13,974.18 × 3,766.53
4. Step 4: Simplify right side
   9,314.22x = 52,634,168.20
5. Step 5: Solve for x
   x = 52,634,168.20/9,314.22
6. Step 6: Final answer
   x = 5,650.95