Finding the Fourth Proportional to 10,566.78, 14,582.16 and 5,851.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.78 : 14,582.16 = 5,851.06 : x
2. Step 2: Convert to fraction form
   10,566.78/14,582.16 = 5,851.06/x
3. Step 3: Cross multiply
   10,566.78x = 14,582.16 × 5,851.06
4. Step 4: Simplify right side
   10,566.78x = 85,321,122.23
5. Step 5: Solve for x
   x = 85,321,122.23/10,566.78
6. Step 6: Final answer
   x = 8,074.47