Finding the Fourth Proportional to 1,486.42, 2,051.32 and 823.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,486.42 : 2,051.32 = 823.27 : x
2. Step 2: Convert to fraction form
   1,486.42/2,051.32 = 823.27/x
3. Step 3: Cross multiply
   1,486.42x = 2,051.32 × 823.27
4. Step 4: Simplify right side
   1,486.42x = 1,688,790.59
5. Step 5: Solve for x
   x = 1,688,790.59/1,486.42
6. Step 6: Final answer
   x = 1,136.15