Finding the Fourth Proportional to 10,369.32, 14,309.64 and 5,653.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.32 : 14,309.64 = 5,653.59 : x
2. Step 2: Convert to fraction form
   10,369.32/14,309.64 = 5,653.59/x
3. Step 3: Cross multiply
   10,369.32x = 14,309.64 × 5,653.59
4. Step 4: Simplify right side
   10,369.32x = 80,900,837.61
5. Step 5: Solve for x
   x = 80,900,837.61/10,369.32
6. Step 6: Final answer
   x = 7,801.94