Finding the Fourth Proportional to 1,356.19, 1,870.83 and 824.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.19 : 1,870.83 = 824.83 : x
2. Step 2: Convert to fraction form
   1,356.19/1,870.83 = 824.83/x
3. Step 3: Cross multiply
   1,356.19x = 1,870.83 × 824.83
4. Step 4: Simplify right side
   1,356.19x = 1,543,112.03
5. Step 5: Solve for x
   x = 1,543,112.03/1,356.19
6. Step 6: Final answer
   x = 1,137.83