Finding the Fourth Proportional to 6,566.50, 9,061.78 and 3,582.35

Step by Step Solution

1. Step 1: Write the proportion equation
   6,566.50 : 9,061.78 = 3,582.35 : x
2. Step 2: Convert to fraction form
   6,566.50/9,061.78 = 3,582.35/x
3. Step 3: Cross multiply
   6,566.50x = 9,061.78 × 3,582.35
4. Step 4: Simplify right side
   6,566.50x = 32,462,467.58
5. Step 5: Solve for x
   x = 32,462,467.58/6,566.50
6. Step 6: Final answer
   x = 4,943.65