Finding the Fourth Proportional to 1,784.64, 2,462.78 and 998.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.64 : 2,462.78 = 998.69 : x
2. Step 2: Convert to fraction form
   1,784.64/2,462.78 = 998.69/x
3. Step 3: Cross multiply
   1,784.64x = 2,462.78 × 998.69
4. Step 4: Simplify right side
   1,784.64x = 2,459,553.76
5. Step 5: Solve for x
   x = 2,459,553.76/1,784.64
6. Step 6: Final answer
   x = 1,378.18