Finding the Fourth Proportional to 10,253.46, 14,149.78 and 5,537.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.46 : 14,149.78 = 5,537.74 : x
2. Step 2: Convert to fraction form
   10,253.46/14,149.78 = 5,537.74/x
3. Step 3: Cross multiply
   10,253.46x = 14,149.78 × 5,537.74
4. Step 4: Simplify right side
   10,253.46x = 78,357,812.02
5. Step 5: Solve for x
   x = 78,357,812.02/10,253.46
6. Step 6: Final answer
   x = 7,642.08