Finding the Fourth Proportional to 10,566.43, 15,849.62 and 3,546.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.43 : 15,849.62 = 3,546.47 : x
2. Step 2: Convert to fraction form
   10,566.43/15,849.62 = 3,546.47/x
3. Step 3: Cross multiply
   10,566.43x = 15,849.62 × 3,546.47
4. Step 4: Simplify right side
   10,566.43x = 56,210,167.83
5. Step 5: Solve for x
   x = 56,210,167.83/10,566.43
6. Step 6: Final answer
   x = 5,319.69