Finding the Fourth Proportional to 2,457.64, 3,687.83 and 997.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.64 : 3,687.83 = 997.82 : x
2. Step 2: Convert to fraction form
   2,457.64/3,687.83 = 997.82/x
3. Step 3: Cross multiply
   2,457.64x = 3,687.83 × 997.82
4. Step 4: Simplify right side
   2,457.64x = 3,679,784.67
5. Step 5: Solve for x
   x = 3,679,784.67/2,457.64
6. Step 6: Final answer
   x = 1,497.28