Finding the Fourth Proportional to 1,178.34, 1,626.12 and 712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.34 : 1,626.12 = 712.50 : x
2. Step 2: Convert to fraction form
   1,178.34/1,626.12 = 712.50/x
3. Step 3: Cross multiply
   1,178.34x = 1,626.12 × 712.50
4. Step 4: Simplify right side
   1,178.34x = 1,158,610.50
5. Step 5: Solve for x
   x = 1,158,610.50/1,178.34
6. Step 6: Final answer
   x = 983.26