Finding the Fourth Proportional to 1,978, 2,729.80 and 1,150.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978 : 2,729.80 = 1,150.16 : x
2. Step 2: Convert to fraction form
   1,978/2,729.80 = 1,150.16/x
3. Step 3: Cross multiply
   1,978x = 2,729.80 × 1,150.16
4. Step 4: Simplify right side
   1,978x = 3,139,706.77
5. Step 5: Solve for x
   x = 3,139,706.77/1,978
6. Step 6: Final answer
   x = 1,587.31