Finding the Fourth Proportional to 7,730.69, 11,586.52 and 3,564.91

Step by Step Solution

1. Step 1: Write the proportion equation
   7,730.69 : 11,586.52 = 3,564.91 : x
2. Step 2: Convert to fraction form
   7,730.69/11,586.52 = 3,564.91/x
3. Step 3: Cross multiply
   7,730.69x = 11,586.52 × 3,564.91
4. Step 4: Simplify right side
   7,730.69x = 41,304,914.38
5. Step 5: Solve for x
   x = 41,304,914.38/7,730.69
6. Step 6: Final answer
   x = 5,342.98