Finding the Fourth Proportional to 1,355.49, 1,870.34 and 824.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.49 : 1,870.34 = 824.22 : x
2. Step 2: Convert to fraction form
   1,355.49/1,870.34 = 824.22/x
3. Step 3: Cross multiply
   1,355.49x = 1,870.34 × 824.22
4. Step 4: Simplify right side
   1,355.49x = 1,541,567.51
5. Step 5: Solve for x
   x = 1,541,567.51/1,355.49
6. Step 6: Final answer
   x = 1,137.28