Finding the Fourth Proportional to 1,975.86, 2,978.61 and 1,842.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,975.86 : 2,978.61 = 1,842.09 : x
2. Step 2: Convert to fraction form
   1,975.86/2,978.61 = 1,842.09/x
3. Step 3: Cross multiply
   1,975.86x = 2,978.61 × 1,842.09
4. Step 4: Simplify right side
   1,975.86x = 5,486,874.14
5. Step 5: Solve for x
   x = 5,486,874.14/1,975.86
6. Step 6: Final answer
   x = 2,776.96