Finding the Fourth Proportional to 6,526.48, 9,006.55 and 3,874.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,526.48 : 9,006.55 = 3,874.42 : x
2. Step 2: Convert to fraction form
   6,526.48/9,006.55 = 3,874.42/x
3. Step 3: Cross multiply
   6,526.48x = 9,006.55 × 3,874.42
4. Step 4: Simplify right side
   6,526.48x = 34,895,144.62
5. Step 5: Solve for x
   x = 34,895,144.62/6,526.48
6. Step 6: Final answer
   x = 5,346.70