Finding the Fourth Proportional to 1,182.77, 1,633.25 and 741.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.77 : 1,633.25 = 741.43 : x
2. Step 2: Convert to fraction form
   1,182.77/1,633.25 = 741.43/x
3. Step 3: Cross multiply
   1,182.77x = 1,633.25 × 741.43
4. Step 4: Simplify right side
   1,182.77x = 1,210,928.67
5. Step 5: Solve for x
   x = 1,210,928.67/1,182.77
6. Step 6: Final answer
   x = 1,023.81