Finding the Fourth Proportional to 5,677.56, 7,830.59 and 3,688.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.56 : 7,830.59 = 3,688.76 : x
2. Step 2: Convert to fraction form
   5,677.56/7,830.59 = 3,688.76/x
3. Step 3: Cross multiply
   5,677.56x = 7,830.59 × 3,688.76
4. Step 4: Simplify right side
   5,677.56x = 28,885,128.02
5. Step 5: Solve for x
   x = 28,885,128.02/5,677.56
6. Step 6: Final answer
   x = 5,087.60