Finding the Fourth Proportional to 10,678.68, 16,006.88 and 3,656.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.68 : 16,006.88 = 3,656.63 : x
2. Step 2: Convert to fraction form
   10,678.68/16,006.88 = 3,656.63/x
3. Step 3: Cross multiply
   10,678.68x = 16,006.88 × 3,656.63
4. Step 4: Simplify right side
   10,678.68x = 58,531,139.30
5. Step 5: Solve for x
   x = 58,531,139.30/10,678.68
6. Step 6: Final answer
   x = 5,481.12