Finding the Fourth Proportional to 1,486.89, 2,052.05 and 823.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,486.89 : 2,052.05 = 823.82 : x
2. Step 2: Convert to fraction form
   1,486.89/2,052.05 = 823.82/x
3. Step 3: Cross multiply
   1,486.89x = 2,052.05 × 823.82
4. Step 4: Simplify right side
   1,486.89x = 1,690,505.45
5. Step 5: Solve for x
   x = 1,690,505.45/1,486.89
6. Step 6: Final answer
   x = 1,136.94