Finding the Fourth Proportional to 5,676.86, 7,837.66 and 3,693.07

Step by Step Solution

1. Step 1: Write the proportion equation
   5,676.86 : 7,837.66 = 3,693.07 : x
2. Step 2: Convert to fraction form
   5,676.86/7,837.66 = 3,693.07/x
3. Step 3: Cross multiply
   5,676.86x = 7,837.66 × 3,693.07
4. Step 4: Simplify right side
   5,676.86x = 28,945,019.39
5. Step 5: Solve for x
   x = 28,945,019.39/5,676.86
6. Step 6: Final answer
   x = 5,098.77