Finding the Fourth Proportional to 10,478.12, 14,459.52 and 5,762.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.12 : 14,459.52 = 5,762.40 : x
2. Step 2: Convert to fraction form
   10,478.12/14,459.52 = 5,762.40/x
3. Step 3: Cross multiply
   10,478.12x = 14,459.52 × 5,762.40
4. Step 4: Simplify right side
   10,478.12x = 83,321,554.36
5. Step 5: Solve for x
   x = 83,321,554.36/10,478.12
6. Step 6: Final answer
   x = 7,951.96