Finding the Fourth Proportional to 10,253.53, 14,149.88 and 5,537.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.53 : 14,149.88 = 5,537.81 : x
2. Step 2: Convert to fraction form
   10,253.53/14,149.88 = 5,537.81/x
3. Step 3: Cross multiply
   10,253.53x = 14,149.88 × 5,537.81
4. Step 4: Simplify right side
   10,253.53x = 78,359,375.42
5. Step 5: Solve for x
   x = 78,359,375.42/10,253.53
6. Step 6: Final answer
   x = 7,642.18