Finding the Fourth Proportional to 1,082, 1,492.71 and 708.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082 : 1,492.71 = 708.52 : x
2. Step 2: Convert to fraction form
   1,082/1,492.71 = 708.52/x
3. Step 3: Cross multiply
   1,082x = 1,492.71 × 708.52
4. Step 4: Simplify right side
   1,082x = 1,057,607.43
5. Step 5: Solve for x
   x = 1,057,607.43/1,082
6. Step 6: Final answer
   x = 977.46