Finding the Fourth Proportional to 10,566.95, 14,582.25 and 5,786.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.95 : 14,582.25 = 5,786.84 : x
2. Step 2: Convert to fraction form
   10,566.95/14,582.25 = 5,786.84/x
3. Step 3: Cross multiply
   10,566.95x = 14,582.25 × 5,786.84
4. Step 4: Simplify right side
   10,566.95x = 84,385,147.59
5. Step 5: Solve for x
   x = 84,385,147.59/10,566.95
6. Step 6: Final answer
   x = 7,985.76