Finding the Fourth Proportional to 10,566.72, 15,844.95 and 5,299.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.72 : 15,844.95 = 5,299.47 : x
2. Step 2: Convert to fraction form
   10,566.72/15,844.95 = 5,299.47/x
3. Step 3: Cross multiply
   10,566.72x = 15,844.95 × 5,299.47
4. Step 4: Simplify right side
   10,566.72x = 83,969,837.18
5. Step 5: Solve for x
   x = 83,969,837.18/10,566.72
6. Step 6: Final answer
   x = 7,946.63