Finding the Fourth Proportional to 10,477.94, 14,459.66 and 5,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.94 : 14,459.66 = 5,762.25 : x
2. Step 2: Convert to fraction form
   10,477.94/14,459.66 = 5,762.25/x
3. Step 3: Cross multiply
   10,477.94x = 14,459.66 × 5,762.25
4. Step 4: Simplify right side
   10,477.94x = 83,320,175.84
5. Step 5: Solve for x
   x = 83,320,175.84/10,477.94
6. Step 6: Final answer
   x = 7,951.96