Finding the Fourth Proportional to 9,406.83, 12,978.48 and 5,872.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.83 : 12,978.48 = 5,872.10 : x
2. Step 2: Convert to fraction form
   9,406.83/12,978.48 = 5,872.10/x
3. Step 3: Cross multiply
   9,406.83x = 12,978.48 × 5,872.10
4. Step 4: Simplify right side
   9,406.83x = 76,210,856.51
5. Step 5: Solve for x
   x = 76,210,856.51/9,406.83
6. Step 6: Final answer
   x = 8,101.65