Finding the Fourth Proportional to 10,256.14, 14,145.42 and 7,423.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.14 : 14,145.42 = 7,423.93 : x
2. Step 2: Convert to fraction form
   10,256.14/14,145.42 = 7,423.93/x
3. Step 3: Cross multiply
   10,256.14x = 14,145.42 × 7,423.93
4. Step 4: Simplify right side
   10,256.14x = 105,014,607.90
5. Step 5: Solve for x
   x = 105,014,607.90/10,256.14
6. Step 6: Final answer
   x = 10,239.19