Finding the Fourth Proportional to 7,404.94, 10,214.12 and 5,632.66

Step by Step Solution

1. Step 1: Write the proportion equation
   7,404.94 : 10,214.12 = 5,632.66 : x
2. Step 2: Convert to fraction form
   7,404.94/10,214.12 = 5,632.66/x
3. Step 3: Cross multiply
   7,404.94x = 10,214.12 × 5,632.66
4. Step 4: Simplify right side
   7,404.94x = 57,532,665.16
5. Step 5: Solve for x
   x = 57,532,665.16/7,404.94
6. Step 6: Final answer
   x = 7,769.50