Finding the Fourth Proportional to 5,142.59, 7,705.81 and 3,975.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.59 : 7,705.81 = 3,975.46 : x
2. Step 2: Convert to fraction form
   5,142.59/7,705.81 = 3,975.46/x
3. Step 3: Cross multiply
   5,142.59x = 7,705.81 × 3,975.46
4. Step 4: Simplify right side
   5,142.59x = 30,634,139.42
5. Step 5: Solve for x
   x = 30,634,139.42/5,142.59
6. Step 6: Final answer
   x = 5,956.95