Finding the Fourth Proportional to 1,410.58, 1,946.62 and 821.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.58 : 1,946.62 = 821.10 : x
2. Step 2: Convert to fraction form
   1,410.58/1,946.62 = 821.10/x
3. Step 3: Cross multiply
   1,410.58x = 1,946.62 × 821.10
4. Step 4: Simplify right side
   1,410.58x = 1,598,370.71
5. Step 5: Solve for x
   x = 1,598,370.71/1,410.58
6. Step 6: Final answer
   x = 1,133.13