Finding the Fourth Proportional to 9,834.60, 14,673.77 and 9,137.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.60 : 14,673.77 = 9,137.82 : x
2. Step 2: Convert to fraction form
   9,834.60/14,673.77 = 9,137.82/x
3. Step 3: Cross multiply
   9,834.60x = 14,673.77 × 9,137.82
4. Step 4: Simplify right side
   9,834.60x = 134,086,291.83
5. Step 5: Solve for x
   x = 134,086,291.83/9,834.60
6. Step 6: Final answer
   x = 13,634.14