Finding the Fourth Proportional to 1,182.89, 1,774.17 and 402.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.89 : 1,774.17 = 402.86 : x
2. Step 2: Convert to fraction form
   1,182.89/1,774.17 = 402.86/x
3. Step 3: Cross multiply
   1,182.89x = 1,774.17 × 402.86
4. Step 4: Simplify right side
   1,182.89x = 714,746.56
5. Step 5: Solve for x
   x = 714,746.56/1,182.89
6. Step 6: Final answer
   x = 604.24