Finding the Fourth Proportional to 1,182.80, 1,771.83 and 714.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.80 : 1,771.83 = 714.00 : x
2. Step 2: Convert to fraction form
   1,182.80/1,771.83 = 714.00/x
3. Step 3: Cross multiply
   1,182.80x = 1,771.83 × 714.00
4. Step 4: Simplify right side
   1,182.80x = 1,265,090.59
5. Step 5: Solve for x
   x = 1,265,090.59/1,182.80
6. Step 6: Final answer
   x = 1,069.57