Finding the Fourth Proportional to 1,097.89, 1,516.10 and 705.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.89 : 1,516.10 = 705.59 : x
2. Step 2: Convert to fraction form
   1,097.89/1,516.10 = 705.59/x
3. Step 3: Cross multiply
   1,097.89x = 1,516.10 × 705.59
4. Step 4: Simplify right side
   1,097.89x = 1,069,733.89
5. Step 5: Solve for x
   x = 1,069,733.89/1,097.89
6. Step 6: Final answer
   x = 974.36