Finding the Fourth Proportional to 1,075.77, 1,611.71 and 829.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.77 : 1,611.71 = 829.37 : x
2. Step 2: Convert to fraction form
   1,075.77/1,611.71 = 829.37/x
3. Step 3: Cross multiply
   1,075.77x = 1,611.71 × 829.37
4. Step 4: Simplify right side
   1,075.77x = 1,336,691.72
5. Step 5: Solve for x
   x = 1,336,691.72/1,075.77
6. Step 6: Final answer
   x = 1,242.54