Finding the Fourth Proportional to 1,978.96, 2,971.16 and 1,005.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.96 : 2,971.16 = 1,005.76 : x
2. Step 2: Convert to fraction form
   1,978.96/2,971.16 = 1,005.76/x
3. Step 3: Cross multiply
   1,978.96x = 2,971.16 × 1,005.76
4. Step 4: Simplify right side
   1,978.96x = 2,988,273.88
5. Step 5: Solve for x
   x = 2,988,273.88/1,978.96
6. Step 6: Final answer
   x = 1,510.02