Finding the Fourth Proportional to 7,109.29, 10,667.67 and 5,042.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,109.29 : 10,667.67 = 5,042.62 : x
2. Step 2: Convert to fraction form
   7,109.29/10,667.67 = 5,042.62/x
3. Step 3: Cross multiply
   7,109.29x = 10,667.67 × 5,042.62
4. Step 4: Simplify right side
   7,109.29x = 53,793,006.10
5. Step 5: Solve for x
   x = 53,793,006.10/7,109.29
6. Step 6: Final answer
   x = 7,566.58