Finding the Fourth Proportional to 5,642.92, 7,780.01 and 3,871.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.92 : 7,780.01 = 3,871.45 : x
2. Step 2: Convert to fraction form
   5,642.92/7,780.01 = 3,871.45/x
3. Step 3: Cross multiply
   5,642.92x = 7,780.01 × 3,871.45
4. Step 4: Simplify right side
   5,642.92x = 30,119,919.71
5. Step 5: Solve for x
   x = 30,119,919.71/5,642.92
6. Step 6: Final answer
   x = 5,337.65