Finding the Fourth Proportional to 2,292.02, 3,162.80 and 1,407.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292.02 : 3,162.80 = 1,407.82 : x
2. Step 2: Convert to fraction form
   2,292.02/3,162.80 = 1,407.82/x
3. Step 3: Cross multiply
   2,292.02x = 3,162.80 × 1,407.82
4. Step 4: Simplify right side
   2,292.02x = 4,452,646.06
5. Step 5: Solve for x
   x = 4,452,646.06/2,292.02
6. Step 6: Final answer
   x = 1,942.68