Finding the Fourth Proportional to 13,874.85, 19,146.89 and 7,586.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,874.85 : 19,146.89 = 7,586.82 : x
2. Step 2: Convert to fraction form
   13,874.85/19,146.89 = 7,586.82/x
3. Step 3: Cross multiply
   13,874.85x = 19,146.89 × 7,586.82
4. Step 4: Simplify right side
   13,874.85x = 145,263,970.06
5. Step 5: Solve for x
   x = 145,263,970.06/13,874.85
6. Step 6: Final answer
   x = 10,469.59