Finding the Fourth Proportional to 1,293.30, 1,783.89 and 821.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.30 : 1,783.89 = 821.07 : x
2. Step 2: Convert to fraction form
   1,293.30/1,783.89 = 821.07/x
3. Step 3: Cross multiply
   1,293.30x = 1,783.89 × 821.07
4. Step 4: Simplify right side
   1,293.30x = 1,464,698.56
5. Step 5: Solve for x
   x = 1,464,698.56/1,293.30
6. Step 6: Final answer
   x = 1,132.53