Finding the Fourth Proportional to 1,192.34, 1,789.67 and 645.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.34 : 1,789.67 = 645.69 : x
2. Step 2: Convert to fraction form
   1,192.34/1,789.67 = 645.69/x
3. Step 3: Cross multiply
   1,192.34x = 1,789.67 × 645.69
4. Step 4: Simplify right side
   1,192.34x = 1,155,573.64
5. Step 5: Solve for x
   x = 1,155,573.64/1,192.34
6. Step 6: Final answer
   x = 969.17