Finding the Fourth Proportional to 1,347.66, 1,859.83 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,347.66 : 1,859.83 = 823.59 : x
2. Step 2: Convert to fraction form
   1,347.66/1,859.83 = 823.59/x
3. Step 3: Cross multiply
   1,347.66x = 1,859.83 × 823.59
4. Step 4: Simplify right side
   1,347.66x = 1,531,735.33
5. Step 5: Solve for x
   x = 1,531,735.33/1,347.66
6. Step 6: Final answer
   x = 1,136.59