Finding the Fourth Proportional to 1,486.53, 2,051.33 and 823.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,486.53 : 2,051.33 = 823.46 : x
2. Step 2: Convert to fraction form
   1,486.53/2,051.33 = 823.46/x
3. Step 3: Cross multiply
   1,486.53x = 2,051.33 × 823.46
4. Step 4: Simplify right side
   1,486.53x = 1,689,173.83
5. Step 5: Solve for x
   x = 1,689,173.83/1,486.53
6. Step 6: Final answer
   x = 1,136.32