Finding the Fourth Proportional to 1,187.34, 1,780.38 and 456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.34 : 1,780.38 = 456.50 : x
2. Step 2: Convert to fraction form
   1,187.34/1,780.38 = 456.50/x
3. Step 3: Cross multiply
   1,187.34x = 1,780.38 × 456.50
4. Step 4: Simplify right side
   1,187.34x = 812,734.57
5. Step 5: Solve for x
   x = 812,734.57/1,187.34
6. Step 6: Final answer
   x = 684.50