Finding the Fourth Proportional to 5,633.08, 7,775.94 and 3,643.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,633.08 : 7,775.94 = 3,643.72 : x
2. Step 2: Convert to fraction form
   5,633.08/7,775.94 = 3,643.72/x
3. Step 3: Cross multiply
   5,633.08x = 7,775.94 × 3,643.72
4. Step 4: Simplify right side
   5,633.08x = 28,333,348.10
5. Step 5: Solve for x
   x = 28,333,348.10/5,633.08
6. Step 6: Final answer
   x = 5,029.81