Finding the Fourth Proportional to 1,346.86, 1,858.89 and 823.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.86 : 1,858.89 = 823.24 : x
2. Step 2: Convert to fraction form
   1,346.86/1,858.89 = 823.24/x
3. Step 3: Cross multiply
   1,346.86x = 1,858.89 × 823.24
4. Step 4: Simplify right side
   1,346.86x = 1,530,312.60
5. Step 5: Solve for x
   x = 1,530,312.60/1,346.86
6. Step 6: Final answer
   x = 1,136.21