Finding the Fourth Proportional to 10,478.16, 14,459.76 and 5,762.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.16 : 14,459.76 = 5,762.64 : x
2. Step 2: Convert to fraction form
   10,478.16/14,459.76 = 5,762.64/x
3. Step 3: Cross multiply
   10,478.16x = 14,459.76 × 5,762.64
4. Step 4: Simplify right side
   10,478.16x = 83,326,391.37
5. Step 5: Solve for x
   x = 83,326,391.37/10,478.16
6. Step 6: Final answer
   x = 7,952.39