Finding the Fourth Proportional to 10,666.80, 16,002.69 and 3,646.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666.80 : 16,002.69 = 3,646.87 : x
2. Step 2: Convert to fraction form
   10,666.80/16,002.69 = 3,646.87/x
3. Step 3: Cross multiply
   10,666.80x = 16,002.69 × 3,646.87
4. Step 4: Simplify right side
   10,666.80x = 58,359,730.08
5. Step 5: Solve for x
   x = 58,359,730.08/10,666.80
6. Step 6: Final answer
   x = 5,471.16