Finding the Fourth Proportional to 10,566.83, 14,581.58 and 5,786.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.83 : 14,581.58 = 5,786.83 : x
2. Step 2: Convert to fraction form
   10,566.83/14,581.58 = 5,786.83/x
3. Step 3: Cross multiply
   10,566.83x = 14,581.58 × 5,786.83
4. Step 4: Simplify right side
   10,566.83x = 84,381,124.59
5. Step 5: Solve for x
   x = 84,381,124.59/10,566.83
6. Step 6: Final answer
   x = 7,985.47