Finding the Fourth Proportional to 1,661.92, 2,493.50 and 784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,661.92 : 2,493.50 = 784.69 : x
2. Step 2: Convert to fraction form
   1,661.92/2,493.50 = 784.69/x
3. Step 3: Cross multiply
   1,661.92x = 2,493.50 × 784.69
4. Step 4: Simplify right side
   1,661.92x = 1,956,624.52
5. Step 5: Solve for x
   x = 1,956,624.52/1,661.92
6. Step 6: Final answer
   x = 1,177.33