Finding the Fourth Proportional to 10,409.52, 14,364.84 and 5,693.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.52 : 14,364.84 = 5,693.49 : x
2. Step 2: Convert to fraction form
   10,409.52/14,364.84 = 5,693.49/x
3. Step 3: Cross multiply
   10,409.52x = 14,364.84 × 5,693.49
4. Step 4: Simplify right side
   10,409.52x = 81,786,072.89
5. Step 5: Solve for x
   x = 81,786,072.89/10,409.52
6. Step 6: Final answer
   x = 7,856.85