Finding the Fourth Proportional to 10,217.58, 14,102.94 and 5,742.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217.58 : 14,102.94 = 5,742.78 : x
2. Step 2: Convert to fraction form
   10,217.58/14,102.94 = 5,742.78/x
3. Step 3: Cross multiply
   10,217.58x = 14,102.94 × 5,742.78
4. Step 4: Simplify right side
   10,217.58x = 80,990,081.77
5. Step 5: Solve for x
   x = 80,990,081.77/10,217.58
6. Step 6: Final answer
   x = 7,926.54