Finding the Fourth Proportional to 10,462.53, 14,438.40 and 5,746.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.53 : 14,438.40 = 5,746.86 : x
2. Step 2: Convert to fraction form
   10,462.53/14,438.40 = 5,746.86/x
3. Step 3: Cross multiply
   10,462.53x = 14,438.40 × 5,746.86
4. Step 4: Simplify right side
   10,462.53x = 82,975,463.42
5. Step 5: Solve for x
   x = 82,975,463.42/10,462.53
6. Step 6: Final answer
   x = 7,930.73