Finding the Fourth Proportional to 1,784.20, 2,462.25 and 998.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.20 : 2,462.25 = 998.23 : x
2. Step 2: Convert to fraction form
   1,784.20/2,462.25 = 998.23/x
3. Step 3: Cross multiply
   1,784.20x = 2,462.25 × 998.23
4. Step 4: Simplify right side
   1,784.20x = 2,457,891.82
5. Step 5: Solve for x
   x = 2,457,891.82/1,784.20
6. Step 6: Final answer
   x = 1,377.59