Finding the Fourth Proportional to 1,075.71, 1,612.43 and 684.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.71 : 1,612.43 = 684.48 : x
2. Step 2: Convert to fraction form
   1,075.71/1,612.43 = 684.48/x
3. Step 3: Cross multiply
   1,075.71x = 1,612.43 × 684.48
4. Step 4: Simplify right side
   1,075.71x = 1,103,672.66
5. Step 5: Solve for x
   x = 1,103,672.66/1,075.71
6. Step 6: Final answer
   x = 1,025.99