Finding the Fourth Proportional to 16,255.89, 22,419.09 and 10,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,255.89 : 22,419.09 = 10,588.50 : x
2. Step 2: Convert to fraction form
   16,255.89/22,419.09 = 10,588.50/x
3. Step 3: Cross multiply
   16,255.89x = 22,419.09 × 10,588.50
4. Step 4: Simplify right side
   16,255.89x = 237,384,534.47
5. Step 5: Solve for x
   x = 237,384,534.47/16,255.89
6. Step 6: Final answer
   x = 14,602.99