Finding the Fourth Proportional to 6,123.74, 9,181.96 and 2,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123.74 : 9,181.96 = 2,426.50 : x
2. Step 2: Convert to fraction form
   6,123.74/9,181.96 = 2,426.50/x
3. Step 3: Cross multiply
   6,123.74x = 9,181.96 × 2,426.50
4. Step 4: Simplify right side
   6,123.74x = 22,280,025.94
5. Step 5: Solve for x
   x = 22,280,025.94/6,123.74
6. Step 6: Final answer
   x = 3,638.30