Finding the Fourth Proportional to 1,978.82, 2,967.96 and 1,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.82 : 2,967.96 = 1,540.50 : x
2. Step 2: Convert to fraction form
   1,978.82/2,967.96 = 1,540.50/x
3. Step 3: Cross multiply
   1,978.82x = 2,967.96 × 1,540.50
4. Step 4: Simplify right side
   1,978.82x = 4,572,142.38
5. Step 5: Solve for x
   x = 4,572,142.38/1,978.82
6. Step 6: Final answer
   x = 2,310.54