Finding the Fourth Proportional to 1,097.70, 1,644.15 and 976.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.70 : 1,644.15 = 976.10 : x
2. Step 2: Convert to fraction form
   1,097.70/1,644.15 = 976.10/x
3. Step 3: Cross multiply
   1,097.70x = 1,644.15 × 976.10
4. Step 4: Simplify right side
   1,097.70x = 1,604,854.82
5. Step 5: Solve for x
   x = 1,604,854.82/1,097.70
6. Step 6: Final answer
   x = 1,462.02