Finding the Fourth Proportional to 31,776.64, 47,662.72 and 8,402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776.64 : 47,662.72 = 8,402.56 : x
2. Step 2: Convert to fraction form
   31,776.64/47,662.72 = 8,402.56/x
3. Step 3: Cross multiply
   31,776.64x = 47,662.72 × 8,402.56
4. Step 4: Simplify right side
   31,776.64x = 400,488,864.56
5. Step 5: Solve for x
   x = 400,488,864.56/31,776.64
6. Step 6: Final answer
   x = 12,603.25