Finding the Fourth Proportional to 1,146.86, 1,582.71 and 704.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.86 : 1,582.71 = 704.60 : x
2. Step 2: Convert to fraction form
   1,146.86/1,582.71 = 704.60/x
3. Step 3: Cross multiply
   1,146.86x = 1,582.71 × 704.60
4. Step 4: Simplify right side
   1,146.86x = 1,115,172.85
5. Step 5: Solve for x
   x = 1,115,172.85/1,146.86
6. Step 6: Final answer
   x = 972.37