Finding the Fourth Proportional to 13,834.21, 19,085.57 and 9,644.89

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.21 : 19,085.57 = 9,644.89 : x
2. Step 2: Convert to fraction form
   13,834.21/19,085.57 = 9,644.89/x
3. Step 3: Cross multiply
   13,834.21x = 19,085.57 × 9,644.89
4. Step 4: Simplify right side
   13,834.21x = 184,078,223.24
5. Step 5: Solve for x
   x = 184,078,223.24/13,834.21
6. Step 6: Final answer
   x = 13,306.02