Finding the Fourth Proportional to 6,735.10, 10,098.61 and 2,575.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,735.10 : 10,098.61 = 2,575.42 : x
2. Step 2: Convert to fraction form
   6,735.10/10,098.61 = 2,575.42/x
3. Step 3: Cross multiply
   6,735.10x = 10,098.61 × 2,575.42
4. Step 4: Simplify right side
   6,735.10x = 26,008,162.17
5. Step 5: Solve for x
   x = 26,008,162.17/6,735.10
6. Step 6: Final answer
   x = 3,861.59