Finding the Fourth Proportional to 12,978.42, 19,473.21 and 4,216.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,978.42 : 19,473.21 = 4,216.02 : x
2. Step 2: Convert to fraction form
   12,978.42/19,473.21 = 4,216.02/x
3. Step 3: Cross multiply
   12,978.42x = 19,473.21 × 4,216.02
4. Step 4: Simplify right side
   12,978.42x = 82,099,442.82
5. Step 5: Solve for x
   x = 82,099,442.82/12,978.42
6. Step 6: Final answer
   x = 6,325.84