Finding the Fourth Proportional to 1,978.48, 2,970.42 and 1,005.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.48 : 2,970.42 = 1,005.27 : x
2. Step 2: Convert to fraction form
   1,978.48/2,970.42 = 1,005.27/x
3. Step 3: Cross multiply
   1,978.48x = 2,970.42 × 1,005.27
4. Step 4: Simplify right side
   1,978.48x = 2,986,074.11
5. Step 5: Solve for x
   x = 2,986,074.11/1,978.48
6. Step 6: Final answer
   x = 1,509.28