Finding the Fourth Proportional to 1,347.68, 1,859.68 and 823.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,347.68 : 1,859.68 = 823.62 : x
2. Step 2: Convert to fraction form
   1,347.68/1,859.68 = 823.62/x
3. Step 3: Cross multiply
   1,347.68x = 1,859.68 × 823.62
4. Step 4: Simplify right side
   1,347.68x = 1,531,669.64
5. Step 5: Solve for x
   x = 1,531,669.64/1,347.68
6. Step 6: Final answer
   x = 1,136.52