Finding the Fourth Proportional to 2,118.96, 3,176.82 and 821.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,118.96 : 3,176.82 = 821.52 : x
2. Step 2: Convert to fraction form
   2,118.96/3,176.82 = 821.52/x
3. Step 3: Cross multiply
   2,118.96x = 3,176.82 × 821.52
4. Step 4: Simplify right side
   2,118.96x = 2,609,821.17
5. Step 5: Solve for x
   x = 2,609,821.17/2,118.96
6. Step 6: Final answer
   x = 1,231.65