Finding the Fourth Proportional to 10,409.39, 14,365.06 and 5,693.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.39 : 14,365.06 = 5,693.57 : x
2. Step 2: Convert to fraction form
   10,409.39/14,365.06 = 5,693.57/x
3. Step 3: Cross multiply
   10,409.39x = 14,365.06 × 5,693.57
4. Step 4: Simplify right side
   10,409.39x = 81,788,402.84
5. Step 5: Solve for x
   x = 81,788,402.84/10,409.39
6. Step 6: Final answer
   x = 7,857.18