Finding the Fourth Proportional to 52,584.38, 78,982.71 and 31,564.34

Step by Step Solution

1. Step 1: Write the proportion equation
   52,584.38 : 78,982.71 = 31,564.34 : x
2. Step 2: Convert to fraction form
   52,584.38/78,982.71 = 31,564.34/x
3. Step 3: Cross multiply
   52,584.38x = 78,982.71 × 31,564.34
4. Step 4: Simplify right side
   52,584.38x = 2,493,037,112.56
5. Step 5: Solve for x
   x = 2,493,037,112.56/52,584.38
6. Step 6: Final answer
   x = 47,410.22