Finding the Fourth Proportional to 2,405.88, 3,607.47 and 762.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.88 : 3,607.47 = 762.12 : x
2. Step 2: Convert to fraction form
   2,405.88/3,607.47 = 762.12/x
3. Step 3: Cross multiply
   2,405.88x = 3,607.47 × 762.12
4. Step 4: Simplify right side
   2,405.88x = 2,749,325.04
5. Step 5: Solve for x
   x = 2,749,325.04/2,405.88
6. Step 6: Final answer
   x = 1,142.75