Finding the Fourth Proportional to 12,978.02, 19,462.44 and 4,210.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,978.02 : 19,462.44 = 4,210.76 : x
2. Step 2: Convert to fraction form
   12,978.02/19,462.44 = 4,210.76/x
3. Step 3: Cross multiply
   12,978.02x = 19,462.44 × 4,210.76
4. Step 4: Simplify right side
   12,978.02x = 81,951,663.85
5. Step 5: Solve for x
   x = 81,951,663.85/12,978.02
6. Step 6: Final answer
   x = 6,314.65