Finding the Fourth Proportional to 10,477.84, 14,459.36 and 5,762.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.84 : 14,459.36 = 5,762.08 : x
2. Step 2: Convert to fraction form
   10,477.84/14,459.36 = 5,762.08/x
3. Step 3: Cross multiply
   10,477.84x = 14,459.36 × 5,762.08
4. Step 4: Simplify right side
   10,477.84x = 83,315,989.07
5. Step 5: Solve for x
   x = 83,315,989.07/10,477.84
6. Step 6: Final answer
   x = 7,951.64