Finding the Fourth Proportional to 82,538.10, 123,877.84 and 81,916.83

Step by Step Solution

1. Step 1: Write the proportion equation
   82,538.10 : 123,877.84 = 81,916.83 : x
2. Step 2: Convert to fraction form
   82,538.10/123,877.84 = 81,916.83/x
3. Step 3: Cross multiply
   82,538.10x = 123,877.84 × 81,916.83
4. Step 4: Simplify right side
   82,538.10x = 10,147,679,960.05
5. Step 5: Solve for x
   x = 10,147,679,960.05/82,538.10
6. Step 6: Final answer
   x = 122,945.40