Finding the Fourth Proportional to 10,876.30, 16,314.52 and 2,978.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,876.30 : 16,314.52 = 2,978.64 : x
2. Step 2: Convert to fraction form
   10,876.30/16,314.52 = 2,978.64/x
3. Step 3: Cross multiply
   10,876.30x = 16,314.52 × 2,978.64
4. Step 4: Simplify right side
   10,876.30x = 48,595,081.85
5. Step 5: Solve for x
   x = 48,595,081.85/10,876.30
6. Step 6: Final answer
   x = 4,467.98