Finding the Fourth Proportional to 5,646.07, 7,786.50 and 3,654.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646.07 : 7,786.50 = 3,654.55 : x
2. Step 2: Convert to fraction form
   5,646.07/7,786.50 = 3,654.55/x
3. Step 3: Cross multiply
   5,646.07x = 7,786.50 × 3,654.55
4. Step 4: Simplify right side
   5,646.07x = 28,456,153.58
5. Step 5: Solve for x
   x = 28,456,153.58/5,646.07
6. Step 6: Final answer
   x = 5,039.99