Finding the Fourth Proportional to 10,852.42, 16,283.69 and 3,837.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,852.42 : 16,283.69 = 3,837.74 : x
2. Step 2: Convert to fraction form
   10,852.42/16,283.69 = 3,837.74/x
3. Step 3: Cross multiply
   10,852.42x = 16,283.69 × 3,837.74
4. Step 4: Simplify right side
   10,852.42x = 62,492,568.46
5. Step 5: Solve for x
   x = 62,492,568.46/10,852.42
6. Step 6: Final answer
   x = 5,758.40