Finding the Fourth Proportional to 7,159.94, 9,873.24 and 5,665.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,159.94 : 9,873.24 = 5,665.46 : x
2. Step 2: Convert to fraction form
   7,159.94/9,873.24 = 5,665.46/x
3. Step 3: Cross multiply
   7,159.94x = 9,873.24 × 5,665.46
4. Step 4: Simplify right side
   7,159.94x = 55,936,446.29
5. Step 5: Solve for x
   x = 55,936,446.29/7,159.94
6. Step 6: Final answer
   x = 7,812.42