Finding the Fourth Proportional to 1,033.82, 1,426.80 and 784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.82 : 1,426.80 = 784.71 : x
2. Step 2: Convert to fraction form
   1,033.82/1,426.80 = 784.71/x
3. Step 3: Cross multiply
   1,033.82x = 1,426.80 × 784.71
4. Step 4: Simplify right side
   1,033.82x = 1,119,624.23
5. Step 5: Solve for x
   x = 1,119,624.23/1,033.82
6. Step 6: Final answer
   x = 1,083.00