Finding the Fourth Proportional to 5,666.83, 7,821.77 and 3,677.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,666.83 : 7,821.77 = 3,677.27 : x
2. Step 2: Convert to fraction form
   5,666.83/7,821.77 = 3,677.27/x
3. Step 3: Cross multiply
   5,666.83x = 7,821.77 × 3,677.27
4. Step 4: Simplify right side
   5,666.83x = 28,762,702.67
5. Step 5: Solve for x
   x = 28,762,702.67/5,666.83
6. Step 6: Final answer
   x = 5,075.63