Finding the Fourth Proportional to 35,642.50, 49,199.61 and 20,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642.50 : 49,199.61 = 20,738.50 : x
2. Step 2: Convert to fraction form
   35,642.50/49,199.61 = 20,738.50/x
3. Step 3: Cross multiply
   35,642.50x = 49,199.61 × 20,738.50
4. Step 4: Simplify right side
   35,642.50x = 1,020,326,111.99
5. Step 5: Solve for x
   x = 1,020,326,111.99/35,642.50
6. Step 6: Final answer
   x = 28,626.67