Finding the Fourth Proportional to 1,190.43, 1,784.57 and 410.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,190.43 : 1,784.57 = 410.00 : x
2. Step 2: Convert to fraction form
   1,190.43/1,784.57 = 410.00/x
3. Step 3: Cross multiply
   1,190.43x = 1,784.57 × 410.00
4. Step 4: Simplify right side
   1,190.43x = 731,662.73
5. Step 5: Solve for x
   x = 731,662.73/1,190.43
6. Step 6: Final answer
   x = 614.62