Finding the Fourth Proportional to 1,869.37, 2,802.86 and 829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,869.37 : 2,802.86 = 829.69 : x
2. Step 2: Convert to fraction form
   1,869.37/2,802.86 = 829.69/x
3. Step 3: Cross multiply
   1,869.37x = 2,802.86 × 829.69
4. Step 4: Simplify right side
   1,869.37x = 2,325,500.76
5. Step 5: Solve for x
   x = 2,325,500.76/1,869.37
6. Step 6: Final answer
   x = 1,244.00