Finding the Fourth Proportional to 10,409.21, 14,364.63 and 5,693.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.21 : 14,364.63 = 5,693.52 : x
2. Step 2: Convert to fraction form
   10,409.21/14,364.63 = 5,693.52/x
3. Step 3: Cross multiply
   10,409.21x = 14,364.63 × 5,693.52
4. Step 4: Simplify right side
   10,409.21x = 81,785,308.20
5. Step 5: Solve for x
   x = 81,785,308.20/10,409.21
6. Step 6: Final answer
   x = 7,857.02