Finding the Fourth Proportional to 82,584.56, 123,890.76 and 38,193.20

Step by Step Solution

1. Step 1: Write the proportion equation
   82,584.56 : 123,890.76 = 38,193.20 : x
2. Step 2: Convert to fraction form
   82,584.56/123,890.76 = 38,193.20/x
3. Step 3: Cross multiply
   82,584.56x = 123,890.76 × 38,193.20
4. Step 4: Simplify right side
   82,584.56x = 4,731,784,574.83
5. Step 5: Solve for x
   x = 4,731,784,574.83/82,584.56
6. Step 6: Final answer
   x = 57,296.24