Finding the Fourth Proportional to 1,411.51, 1,947.76 and 821.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.51 : 1,947.76 = 821.94 : x
2. Step 2: Convert to fraction form
   1,411.51/1,947.76 = 821.94/x
3. Step 3: Cross multiply
   1,411.51x = 1,947.76 × 821.94
4. Step 4: Simplify right side
   1,411.51x = 1,600,941.85
5. Step 5: Solve for x
   x = 1,600,941.85/1,411.51
6. Step 6: Final answer
   x = 1,134.21