Finding the Fourth Proportional to 13,634.01, 18,814.82 and 7,665.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,634.01 : 18,814.82 = 7,665.71 : x
2. Step 2: Convert to fraction form
   13,634.01/18,814.82 = 7,665.71/x
3. Step 3: Cross multiply
   13,634.01x = 18,814.82 × 7,665.71
4. Step 4: Simplify right side
   13,634.01x = 144,228,953.82
5. Step 5: Solve for x
   x = 144,228,953.82/13,634.01
6. Step 6: Final answer
   x = 10,578.62