Finding the Fourth Proportional to 6,875.42, 9,488.00 and 3,891.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,875.42 : 9,488.00 = 3,891.20 : x
2. Step 2: Convert to fraction form
   6,875.42/9,488.00 = 3,891.20/x
3. Step 3: Cross multiply
   6,875.42x = 9,488.00 × 3,891.20
4. Step 4: Simplify right side
   6,875.42x = 36,919,667.89
5. Step 5: Solve for x
   x = 36,919,667.89/6,875.42
6. Step 6: Final answer
   x = 5,369.81