Finding the Fourth Proportional to 5,577.16, 7,677.15 and 4,820.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,577.16 : 7,677.15 = 4,820.59 : x
2. Step 2: Convert to fraction form
   5,577.16/7,677.15 = 4,820.59/x
3. Step 3: Cross multiply
   5,577.16x = 7,677.15 × 4,820.59
4. Step 4: Simplify right side
   5,577.16x = 37,008,392.52
5. Step 5: Solve for x
   x = 37,008,392.52/5,577.16
6. Step 6: Final answer
   x = 6,635.71