Finding the Fourth Proportional to 82,454.75, 113,787.59 and 46,644

Step by Step Solution

1. Step 1: Write the proportion equation
   82,454.75 : 113,787.59 = 46,644 : x
2. Step 2: Convert to fraction form
   82,454.75/113,787.59 = 46,644/x
3. Step 3: Cross multiply
   82,454.75x = 113,787.59 × 46,644
4. Step 4: Simplify right side
   82,454.75x = 5,307,508,347.96
5. Step 5: Solve for x
   x = 5,307,508,347.96/82,454.75
6. Step 6: Final answer
   x = 64,368.74