Finding the Fourth Proportional to 1,355.63, 1,870.89 and 824.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.63 : 1,870.89 = 824.39 : x
2. Step 2: Convert to fraction form
   1,355.63/1,870.89 = 824.39/x
3. Step 3: Cross multiply
   1,355.63x = 1,870.89 × 824.39
4. Step 4: Simplify right side
   1,355.63x = 1,542,333.65
5. Step 5: Solve for x
   x = 1,542,333.65/1,355.63
6. Step 6: Final answer
   x = 1,137.73