Finding the Fourth Proportional to 1,978.16, 2,968.70 and 1,003.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.16 : 2,968.70 = 1,003.28 : x
2. Step 2: Convert to fraction form
   1,978.16/2,968.70 = 1,003.28/x
3. Step 3: Cross multiply
   1,978.16x = 2,968.70 × 1,003.28
4. Step 4: Simplify right side
   1,978.16x = 2,978,437.34
5. Step 5: Solve for x
   x = 2,978,437.34/1,978.16
6. Step 6: Final answer
   x = 1,505.66