Finding the Fourth Proportional to 1,146.89, 1,582.74 and 704.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.89 : 1,582.74 = 704.63 : x
2. Step 2: Convert to fraction form
   1,146.89/1,582.74 = 704.63/x
3. Step 3: Cross multiply
   1,146.89x = 1,582.74 × 704.63
4. Step 4: Simplify right side
   1,146.89x = 1,115,238.17
5. Step 5: Solve for x
   x = 1,115,238.17/1,146.89
6. Step 6: Final answer
   x = 972.41