Finding the Fourth Proportional to 5,566.50, 7,684.17 and 4,074.48

Step by Step Solution

1. Step 1: Write the proportion equation
   5,566.50 : 7,684.17 = 4,074.48 : x
2. Step 2: Convert to fraction form
   5,566.50/7,684.17 = 4,074.48/x
3. Step 3: Cross multiply
   5,566.50x = 7,684.17 × 4,074.48
4. Step 4: Simplify right side
   5,566.50x = 31,308,996.98
5. Step 5: Solve for x
   x = 31,308,996.98/5,566.50
6. Step 6: Final answer
   x = 5,624.54