Finding the Fourth Proportional to 1,410.72, 1,946.79 and 821.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.72 : 1,946.79 = 821.65 : x
2. Step 2: Convert to fraction form
   1,410.72/1,946.79 = 821.65/x
3. Step 3: Cross multiply
   1,410.72x = 1,946.79 × 821.65
4. Step 4: Simplify right side
   1,410.72x = 1,599,580.00
5. Step 5: Solve for x
   x = 1,599,580.00/1,410.72
6. Step 6: Final answer
   x = 1,133.87