Finding the Fourth Proportional to 5,926.56, 8,178.33 and 3,688.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,926.56 : 8,178.33 = 3,688.38 : x
2. Step 2: Convert to fraction form
   5,926.56/8,178.33 = 3,688.38/x
3. Step 3: Cross multiply
   5,926.56x = 8,178.33 × 3,688.38
4. Step 4: Simplify right side
   5,926.56x = 30,164,788.81
5. Step 5: Solve for x
   x = 30,164,788.81/5,926.56
6. Step 6: Final answer
   x = 5,089.76