Finding the Fourth Proportional to 1,097.89, 1,645.72 and 706.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.89 : 1,645.72 = 706.79 : x
2. Step 2: Convert to fraction form
   1,097.89/1,645.72 = 706.79/x
3. Step 3: Cross multiply
   1,097.89x = 1,645.72 × 706.79
4. Step 4: Simplify right side
   1,097.89x = 1,163,180.79
5. Step 5: Solve for x
   x = 1,163,180.79/1,097.89
6. Step 6: Final answer
   x = 1,059.47