Finding the Fourth Proportional to 1,536.84, 2,302.94 and 714.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.84 : 2,302.94 = 714.15 : x
2. Step 2: Convert to fraction form
   1,536.84/2,302.94 = 714.15/x
3. Step 3: Cross multiply
   1,536.84x = 2,302.94 × 714.15
4. Step 4: Simplify right side
   1,536.84x = 1,644,646.39
5. Step 5: Solve for x
   x = 1,644,646.39/1,536.84
6. Step 6: Final answer
   x = 1,070.15