Finding the Fourth Proportional to 1,103.51, 1,654.34 and 410.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.51 : 1,654.34 = 410.05 : x
2. Step 2: Convert to fraction form
   1,103.51/1,654.34 = 410.05/x
3. Step 3: Cross multiply
   1,103.51x = 1,654.34 × 410.05
4. Step 4: Simplify right side
   1,103.51x = 678,362.12
5. Step 5: Solve for x
   x = 678,362.12/1,103.51
6. Step 6: Final answer
   x = 614.73