Finding the Fourth Proportional to 1,382.00, 1,907.06 and 784.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.00 : 1,907.06 = 784.49 : x
2. Step 2: Convert to fraction form
   1,382.00/1,907.06 = 784.49/x
3. Step 3: Cross multiply
   1,382.00x = 1,907.06 × 784.49
4. Step 4: Simplify right side
   1,382.00x = 1,496,056.04
5. Step 5: Solve for x
   x = 1,496,056.04/1,382.00
6. Step 6: Final answer
   x = 1,082.53