Finding the Fourth Proportional to 10,478.09, 14,459.48 and 5,762.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.09 : 14,459.48 = 5,762.37 : x
2. Step 2: Convert to fraction form
   10,478.09/14,459.48 = 5,762.37/x
3. Step 3: Cross multiply
   10,478.09x = 14,459.48 × 5,762.37
4. Step 4: Simplify right side
   10,478.09x = 83,320,844.96
5. Step 5: Solve for x
   x = 83,320,844.96/10,478.09
6. Step 6: Final answer
   x = 7,951.91