Finding the Fourth Proportional to 7,806.69, 11,703.56 and 3,644.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,806.69 : 11,703.56 = 3,644.55 : x
2. Step 2: Convert to fraction form
   7,806.69/11,703.56 = 3,644.55/x
3. Step 3: Cross multiply
   7,806.69x = 11,703.56 × 3,644.55
4. Step 4: Simplify right side
   7,806.69x = 42,654,191.38
5. Step 5: Solve for x
   x = 42,654,191.38/7,806.69
6. Step 6: Final answer
   x = 5,463.80