Finding the Fourth Proportional to 1,191.42, 1,785.78 and 410.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.42 : 1,785.78 = 410.72 : x
2. Step 2: Convert to fraction form
   1,191.42/1,785.78 = 410.72/x
3. Step 3: Cross multiply
   1,191.42x = 1,785.78 × 410.72
4. Step 4: Simplify right side
   1,191.42x = 733,446.63
5. Step 5: Solve for x
   x = 733,446.63/1,191.42
6. Step 6: Final answer
   x = 615.61