Finding the Fourth Proportional to 5,784.22, 7,978.10 and 3,992.39

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.22 : 7,978.10 = 3,992.39 : x
2. Step 2: Convert to fraction form
   5,784.22/7,978.10 = 3,992.39/x
3. Step 3: Cross multiply
   5,784.22x = 7,978.10 × 3,992.39
4. Step 4: Simplify right side
   5,784.22x = 31,851,656.75
5. Step 5: Solve for x
   x = 31,851,656.75/5,784.22
6. Step 6: Final answer
   x = 5,506.65