Finding the Fourth Proportional to 1,705.36, 2,354.06 and 1,147.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.36 : 2,354.06 = 1,147.42 : x
2. Step 2: Convert to fraction form
   1,705.36/2,354.06 = 1,147.42/x
3. Step 3: Cross multiply
   1,705.36x = 2,354.06 × 1,147.42
4. Step 4: Simplify right side
   1,705.36x = 2,701,093.82
5. Step 5: Solve for x
   x = 2,701,093.82/1,705.36
6. Step 6: Final answer
   x = 1,583.88