Finding the Fourth Proportional to 5,677.06, 7,829.90 and 3,688.26

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.06 : 7,829.90 = 3,688.26 : x
2. Step 2: Convert to fraction form
   5,677.06/7,829.90 = 3,688.26/x
3. Step 3: Cross multiply
   5,677.06x = 7,829.90 × 3,688.26
4. Step 4: Simplify right side
   5,677.06x = 28,878,667.82
5. Step 5: Solve for x
   x = 28,878,667.82/5,677.06
6. Step 6: Final answer
   x = 5,086.91