Finding the Fourth Proportional to 1,969.47, 2,951.85 and 1,189.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,969.47 : 2,951.85 = 1,189.02 : x
2. Step 2: Convert to fraction form
   1,969.47/2,951.85 = 1,189.02/x
3. Step 3: Cross multiply
   1,969.47x = 2,951.85 × 1,189.02
4. Step 4: Simplify right side
   1,969.47x = 3,509,808.69
5. Step 5: Solve for x
   x = 3,509,808.69/1,969.47
6. Step 6: Final answer
   x = 1,782.11