Finding the Fourth Proportional to 5,577.25, 7,697.69 and 3,688.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,577.25 : 7,697.69 = 3,688.94 : x
2. Step 2: Convert to fraction form
   5,577.25/7,697.69 = 3,688.94/x
3. Step 3: Cross multiply
   5,577.25x = 7,697.69 × 3,688.94
4. Step 4: Simplify right side
   5,577.25x = 28,396,316.55
5. Step 5: Solve for x
   x = 28,396,316.55/5,577.25
6. Step 6: Final answer
   x = 5,091.45