Finding the Fourth Proportional to 1,382.31, 2,075.00 and 767.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.31 : 2,075.00 = 767.21 : x
2. Step 2: Convert to fraction form
   1,382.31/2,075.00 = 767.21/x
3. Step 3: Cross multiply
   1,382.31x = 2,075.00 × 767.21
4. Step 4: Simplify right side
   1,382.31x = 1,591,946.54
5. Step 5: Solve for x
   x = 1,591,946.54/1,382.31
6. Step 6: Final answer
   x = 1,151.66