Finding the Fourth Proportional to 1,978.56, 2,969.02 and 1,054.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.56 : 2,969.02 = 1,054.80 : x
2. Step 2: Convert to fraction form
   1,978.56/2,969.02 = 1,054.80/x
3. Step 3: Cross multiply
   1,978.56x = 2,969.02 × 1,054.80
4. Step 4: Simplify right side
   1,978.56x = 3,131,722.30
5. Step 5: Solve for x
   x = 3,131,722.30/1,978.56
6. Step 6: Final answer
   x = 1,582.83