Finding the Fourth Proportional to 3,978.32, 5,492.14 and 2,804.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.32 : 5,492.14 = 2,804.63 : x
2. Step 2: Convert to fraction form
   3,978.32/5,492.14 = 2,804.63/x
3. Step 3: Cross multiply
   3,978.32x = 5,492.14 × 2,804.63
4. Step 4: Simplify right side
   3,978.32x = 15,403,427.33
5. Step 5: Solve for x
   x = 15,403,427.33/3,978.32
6. Step 6: Final answer
   x = 3,871.84