Finding the Fourth Proportional to 31,784.47, 47,678.98 and 8,410.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784.47 : 47,678.98 = 8,410.63 : x
2. Step 2: Convert to fraction form
   31,784.47/47,678.98 = 8,410.63/x
3. Step 3: Cross multiply
   31,784.47x = 47,678.98 × 8,410.63
4. Step 4: Simplify right side
   31,784.47x = 401,010,021.16
5. Step 5: Solve for x
   x = 401,010,021.16/31,784.47
6. Step 6: Final answer
   x = 12,616.54