Finding the Fourth Proportional to 13,814.35, 19,071.59 and 9,106.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13,814.35 : 19,071.59 = 9,106.83 : x
2. Step 2: Convert to fraction form
   13,814.35/19,071.59 = 9,106.83/x
3. Step 3: Cross multiply
   13,814.35x = 19,071.59 × 9,106.83
4. Step 4: Simplify right side
   13,814.35x = 173,681,682.43
5. Step 5: Solve for x
   x = 173,681,682.43/13,814.35
6. Step 6: Final answer
   x = 12,572.56