Finding the Fourth Proportional to 5,642.56, 7,786.60 and 3,653.07

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.56 : 7,786.60 = 3,653.07 : x
2. Step 2: Convert to fraction form
   5,642.56/7,786.60 = 3,653.07/x
3. Step 3: Cross multiply
   5,642.56x = 7,786.60 × 3,653.07
4. Step 4: Simplify right side
   5,642.56x = 28,444,994.86
5. Step 5: Solve for x
   x = 28,444,994.86/5,642.56
6. Step 6: Final answer
   x = 5,041.15