Finding the Fourth Proportional to 65,638, 90,582.64 and 35,830

Step by Step Solution

1. Step 1: Write the proportion equation
   65,638 : 90,582.64 = 35,830 : x
2. Step 2: Convert to fraction form
   65,638/90,582.64 = 35,830/x
3. Step 3: Cross multiply
   65,638x = 90,582.64 × 35,830
4. Step 4: Simplify right side
   65,638x = 3,245,575,991.20
5. Step 5: Solve for x
   x = 3,245,575,991.20/65,638
6. Step 6: Final answer
   x = 49,446.60