Finding the Fourth Proportional to 1,917.82, 2,876.89 and 821.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,917.82 : 2,876.89 = 821.92 : x
2. Step 2: Convert to fraction form
   1,917.82/2,876.89 = 821.92/x
3. Step 3: Cross multiply
   1,917.82x = 2,876.89 × 821.92
4. Step 4: Simplify right side
   1,917.82x = 2,364,581.52
5. Step 5: Solve for x
   x = 2,364,581.52/1,917.82
6. Step 6: Final answer
   x = 1,232.95