Finding the Fourth Proportional to 1,410.95, 1,946.98 and 821.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.95 : 1,946.98 = 821.37 : x
2. Step 2: Convert to fraction form
   1,410.95/1,946.98 = 821.37/x
3. Step 3: Cross multiply
   1,410.95x = 1,946.98 × 821.37
4. Step 4: Simplify right side
   1,410.95x = 1,599,190.96
5. Step 5: Solve for x
   x = 1,599,190.96/1,410.95
6. Step 6: Final answer
   x = 1,133.41