Finding the Fourth Proportional to 1,099.34, 1,516.70 and 706.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.34 : 1,516.70 = 706.58 : x
2. Step 2: Convert to fraction form
   1,099.34/1,516.70 = 706.58/x
3. Step 3: Cross multiply
   1,099.34x = 1,516.70 × 706.58
4. Step 4: Simplify right side
   1,099.34x = 1,071,669.89
5. Step 5: Solve for x
   x = 1,071,669.89/1,099.34
6. Step 6: Final answer
   x = 974.83