Finding the Fourth Proportional to 1,346.37, 1,858.14 and 822.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.37 : 1,858.14 = 822.09 : x
2. Step 2: Convert to fraction form
   1,346.37/1,858.14 = 822.09/x
3. Step 3: Cross multiply
   1,346.37x = 1,858.14 × 822.09
4. Step 4: Simplify right side
   1,346.37x = 1,527,558.31
5. Step 5: Solve for x
   x = 1,527,558.31/1,346.37
6. Step 6: Final answer
   x = 1,134.58