Finding the Fourth Proportional to 1,178.83, 1,768.58 and 710.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.83 : 1,768.58 = 710.83 : x
2. Step 2: Convert to fraction form
   1,178.83/1,768.58 = 710.83/x
3. Step 3: Cross multiply
   1,178.83x = 1,768.58 × 710.83
4. Step 4: Simplify right side
   1,178.83x = 1,257,159.72
5. Step 5: Solve for x
   x = 1,257,159.72/1,178.83
6. Step 6: Final answer
   x = 1,066.45