Finding the Fourth Proportional to 1,346.67, 1,858.55 and 823.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.67 : 1,858.55 = 823.05 : x
2. Step 2: Convert to fraction form
   1,346.67/1,858.55 = 823.05/x
3. Step 3: Cross multiply
   1,346.67x = 1,858.55 × 823.05
4. Step 4: Simplify right side
   1,346.67x = 1,529,675.46
5. Step 5: Solve for x
   x = 1,529,675.46/1,346.67
6. Step 6: Final answer
   x = 1,135.89