Finding the Fourth Proportional to 1,182.83, 1,774.49 and 402.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.83 : 1,774.49 = 402.77 : x
2. Step 2: Convert to fraction form
   1,182.83/1,774.49 = 402.77/x
3. Step 3: Cross multiply
   1,182.83x = 1,774.49 × 402.77
4. Step 4: Simplify right side
   1,182.83x = 714,700.45
5. Step 5: Solve for x
   x = 714,700.45/1,182.83
6. Step 6: Final answer
   x = 604.23