Finding the Fourth Proportional to 2,406.16, 3,607.76 and 762.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.16 : 3,607.76 = 762.24 : x
2. Step 2: Convert to fraction form
   2,406.16/3,607.76 = 762.24/x
3. Step 3: Cross multiply
   2,406.16x = 3,607.76 × 762.24
4. Step 4: Simplify right side
   2,406.16x = 2,749,978.98
5. Step 5: Solve for x
   x = 2,749,978.98/2,406.16
6. Step 6: Final answer
   x = 1,142.89