Finding the Fourth Proportional to 1,098.57, 1,516.14 and 705.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.57 : 1,516.14 = 705.72 : x
2. Step 2: Convert to fraction form
   1,098.57/1,516.14 = 705.72/x
3. Step 3: Cross multiply
   1,098.57x = 1,516.14 × 705.72
4. Step 4: Simplify right side
   1,098.57x = 1,069,970.32
5. Step 5: Solve for x
   x = 1,069,970.32/1,098.57
6. Step 6: Final answer
   x = 973.97