Finding the Fourth Proportional to 1,298.82, 1,948.17 and 714.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.82 : 1,948.17 = 714.09 : x
2. Step 2: Convert to fraction form
   1,298.82/1,948.17 = 714.09/x
3. Step 3: Cross multiply
   1,298.82x = 1,948.17 × 714.09
4. Step 4: Simplify right side
   1,298.82x = 1,391,168.72
5. Step 5: Solve for x
   x = 1,391,168.72/1,298.82
6. Step 6: Final answer
   x = 1,071.10