Finding the Fourth Proportional to 1,146.60, 1,582.56 and 704.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.60 : 1,582.56 = 704.88 : x
2. Step 2: Convert to fraction form
   1,146.60/1,582.56 = 704.88/x
3. Step 3: Cross multiply
   1,146.60x = 1,582.56 × 704.88
4. Step 4: Simplify right side
   1,146.60x = 1,115,514.89
5. Step 5: Solve for x
   x = 1,115,514.89/1,146.60
6. Step 6: Final answer
   x = 972.89