Finding the Fourth Proportional to 1,410.95, 1,947.28 and 821.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.95 : 1,947.28 = 821.48 : x
2. Step 2: Convert to fraction form
   1,410.95/1,947.28 = 821.48/x
3. Step 3: Cross multiply
   1,410.95x = 1,947.28 × 821.48
4. Step 4: Simplify right side
   1,410.95x = 1,599,654.39
5. Step 5: Solve for x
   x = 1,599,654.39/1,410.95
6. Step 6: Final answer
   x = 1,133.74