Finding the Fourth Proportional to 13,855.82, 20,771.42 and 5,088.68

Step by Step Solution

1. Step 1: Write the proportion equation
   13,855.82 : 20,771.42 = 5,088.68 : x
2. Step 2: Convert to fraction form
   13,855.82/20,771.42 = 5,088.68/x
3. Step 3: Cross multiply
   13,855.82x = 20,771.42 × 5,088.68
4. Step 4: Simplify right side
   13,855.82x = 105,699,109.53
5. Step 5: Solve for x
   x = 105,699,109.53/13,855.82
6. Step 6: Final answer
   x = 7,628.50