Finding the Fourth Proportional to 10,462.08, 14,437.68 and 5,746.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.08 : 14,437.68 = 5,746.60 : x
2. Step 2: Convert to fraction form
   10,462.08/14,437.68 = 5,746.60/x
3. Step 3: Cross multiply
   10,462.08x = 14,437.68 × 5,746.60
4. Step 4: Simplify right side
   10,462.08x = 82,967,571.89
5. Step 5: Solve for x
   x = 82,967,571.89/10,462.08
6. Step 6: Final answer
   x = 7,930.31