Finding the Fourth Proportional to 1,180.71, 1,771.34 and 359.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.71 : 1,771.34 = 359.10 : x
2. Step 2: Convert to fraction form
   1,180.71/1,771.34 = 359.10/x
3. Step 3: Cross multiply
   1,180.71x = 1,771.34 × 359.10
4. Step 4: Simplify right side
   1,180.71x = 636,086.40
5. Step 5: Solve for x
   x = 636,086.40/1,180.71
6. Step 6: Final answer
   x = 538.73