Finding the Fourth Proportional to 7,126.67, 10,694.61 and 3,842.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,126.67 : 10,694.61 = 3,842.06 : x
2. Step 2: Convert to fraction form
   7,126.67/10,694.61 = 3,842.06/x
3. Step 3: Cross multiply
   7,126.67x = 10,694.61 × 3,842.06
4. Step 4: Simplify right side
   7,126.67x = 41,089,279.82
5. Step 5: Solve for x
   x = 41,089,279.82/7,126.67
6. Step 6: Final answer
   x = 5,765.56