Finding the Fourth Proportional to 10,409.16, 14,364.50 and 5,693.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.16 : 14,364.50 = 5,693.38 : x
2. Step 2: Convert to fraction form
   10,409.16/14,364.50 = 5,693.38/x
3. Step 3: Cross multiply
   10,409.16x = 14,364.50 × 5,693.38
4. Step 4: Simplify right side
   10,409.16x = 81,782,557.01
5. Step 5: Solve for x
   x = 81,782,557.01/10,409.16
6. Step 6: Final answer
   x = 7,856.79