Finding the Fourth Proportional to 10,209.57, 15,314.35 and 3,635.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209.57 : 15,314.35 = 3,635.81 : x
2. Step 2: Convert to fraction form
   10,209.57/15,314.35 = 3,635.81/x
3. Step 3: Cross multiply
   10,209.57x = 15,314.35 × 3,635.81
4. Step 4: Simplify right side
   10,209.57x = 55,680,066.87
5. Step 5: Solve for x
   x = 55,680,066.87/10,209.57
6. Step 6: Final answer
   x = 5,453.71