Finding the Fourth Proportional to 10,257.02, 14,154.68 and 5,541.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.02 : 14,154.68 = 5,541.30 : x
2. Step 2: Convert to fraction form
   10,257.02/14,154.68 = 5,541.30/x
3. Step 3: Cross multiply
   10,257.02x = 14,154.68 × 5,541.30
4. Step 4: Simplify right side
   10,257.02x = 78,435,342.14
5. Step 5: Solve for x
   x = 78,435,342.14/10,257.02
6. Step 6: Final answer
   x = 7,646.99