Finding the Fourth Proportional to 31,820.42, 44,007.33 and 27,834.61

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820.42 : 44,007.33 = 27,834.61 : x
2. Step 2: Convert to fraction form
   31,820.42/44,007.33 = 27,834.61/x
3. Step 3: Cross multiply
   31,820.42x = 44,007.33 × 27,834.61
4. Step 4: Simplify right side
   31,820.42x = 1,224,926,942.92
5. Step 5: Solve for x
   x = 1,224,926,942.92/31,820.42
6. Step 6: Final answer
   x = 38,494.99