Finding the Fourth Proportional to 10,382.64, 15,564.69 and 3,807.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.64 : 15,564.69 = 3,807.29 : x
2. Step 2: Convert to fraction form
   10,382.64/15,564.69 = 3,807.29/x
3. Step 3: Cross multiply
   10,382.64x = 15,564.69 × 3,807.29
4. Step 4: Simplify right side
   10,382.64x = 59,259,288.59
5. Step 5: Solve for x
   x = 59,259,288.59/10,382.64
6. Step 6: Final answer
   x = 5,707.54