Finding the Fourth Proportional to 1,382.25, 1,907.51 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.25 : 1,907.51 = 830.25 : x
2. Step 2: Convert to fraction form
   1,382.25/1,907.51 = 830.25/x
3. Step 3: Cross multiply
   1,382.25x = 1,907.51 × 830.25
4. Step 4: Simplify right side
   1,382.25x = 1,583,706.03
5. Step 5: Solve for x
   x = 1,583,706.03/1,382.25
6. Step 6: Final answer
   x = 1,145.75