Finding the Fourth Proportional to 1,978.23, 2,971.33 and 1,189.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.23 : 2,971.33 = 1,189.16 : x
2. Step 2: Convert to fraction form
   1,978.23/2,971.33 = 1,189.16/x
3. Step 3: Cross multiply
   1,978.23x = 2,971.33 × 1,189.16
4. Step 4: Simplify right side
   1,978.23x = 3,533,368.95
5. Step 5: Solve for x
   x = 3,533,368.95/1,978.23
6. Step 6: Final answer
   x = 1,786.13