Finding the Fourth Proportional to 10,462.11, 14,437.69 and 5,746.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.11 : 14,437.69 = 5,746.69 : x
2. Step 2: Convert to fraction form
   10,462.11/14,437.69 = 5,746.69/x
3. Step 3: Cross multiply
   10,462.11x = 14,437.69 × 5,746.69
4. Step 4: Simplify right side
   10,462.11x = 82,968,928.75
5. Step 5: Solve for x
   x = 82,968,928.75/10,462.11
6. Step 6: Final answer
   x = 7,930.42