Finding the Fourth Proportional to 7,426.50, 10,248.57 and 4,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,426.50 : 10,248.57 = 4,114.50 : x
2. Step 2: Convert to fraction form
   7,426.50/10,248.57 = 4,114.50/x
3. Step 3: Cross multiply
   7,426.50x = 10,248.57 × 4,114.50
4. Step 4: Simplify right side
   7,426.50x = 42,167,741.27
5. Step 5: Solve for x
   x = 42,167,741.27/7,426.50
6. Step 6: Final answer
   x = 5,678.01