Finding the Fourth Proportional to 1,410.76, 1,946.66 and 821.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.76 : 1,946.66 = 821.08 : x
2. Step 2: Convert to fraction form
   1,410.76/1,946.66 = 821.08/x
3. Step 3: Cross multiply
   1,410.76x = 1,946.66 × 821.08
4. Step 4: Simplify right side
   1,410.76x = 1,598,363.59
5. Step 5: Solve for x
   x = 1,598,363.59/1,410.76
6. Step 6: Final answer
   x = 1,132.98