Finding the Fourth Proportional to 1,189.10, 1,783.67 and 410.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.10 : 1,783.67 = 410.00 : x
2. Step 2: Convert to fraction form
   1,189.10/1,783.67 = 410.00/x
3. Step 3: Cross multiply
   1,189.10x = 1,783.67 × 410.00
4. Step 4: Simplify right side
   1,189.10x = 731,293.73
5. Step 5: Solve for x
   x = 731,293.73/1,189.10
6. Step 6: Final answer
   x = 615.00