Finding the Fourth Proportional to 1,388.77, 1,916.59 and 829.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,388.77 : 1,916.59 = 829.22 : x
2. Step 2: Convert to fraction form
   1,388.77/1,916.59 = 829.22/x
3. Step 3: Cross multiply
   1,388.77x = 1,916.59 × 829.22
4. Step 4: Simplify right side
   1,388.77x = 1,589,284.06
5. Step 5: Solve for x
   x = 1,589,284.06/1,388.77
6. Step 6: Final answer
   x = 1,144.39