Finding the Fourth Proportional to 10,566.89, 14,582.27 and 5,786.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.89 : 14,582.27 = 5,786.86 : x
2. Step 2: Convert to fraction form
   10,566.89/14,582.27 = 5,786.86/x
3. Step 3: Cross multiply
   10,566.89x = 14,582.27 × 5,786.86
4. Step 4: Simplify right side
   10,566.89x = 84,385,453.13
5. Step 5: Solve for x
   x = 84,385,453.13/10,566.89
6. Step 6: Final answer
   x = 7,985.84