Finding the Fourth Proportional to 1,186.84, 1,780.41 and 456.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.84 : 1,780.41 = 456.31 : x
2. Step 2: Convert to fraction form
   1,186.84/1,780.41 = 456.31/x
3. Step 3: Cross multiply
   1,186.84x = 1,780.41 × 456.31
4. Step 4: Simplify right side
   1,186.84x = 812,418.89
5. Step 5: Solve for x
   x = 812,418.89/1,186.84
6. Step 6: Final answer
   x = 684.52