Finding the Fourth Proportional to 31,782.42, 47,664.54 and 12,807

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782.42 : 47,664.54 = 12,807 : x
2. Step 2: Convert to fraction form
   31,782.42/47,664.54 = 12,807/x
3. Step 3: Cross multiply
   31,782.42x = 47,664.54 × 12,807
4. Step 4: Simplify right side
   31,782.42x = 610,439,763.78
5. Step 5: Solve for x
   x = 610,439,763.78/31,782.42
6. Step 6: Final answer
   x = 19,206.84