Finding the Fourth Proportional to 7,463.95, 10,288.30 and 5,665.57

Step by Step Solution

1. Step 1: Write the proportion equation
   7,463.95 : 10,288.30 = 5,665.57 : x
2. Step 2: Convert to fraction form
   7,463.95/10,288.30 = 5,665.57/x
3. Step 3: Cross multiply
   7,463.95x = 10,288.30 × 5,665.57
4. Step 4: Simplify right side
   7,463.95x = 58,289,093.15
5. Step 5: Solve for x
   x = 58,289,093.15/7,463.95
6. Step 6: Final answer
   x = 7,809.42