Finding the Fourth Proportional to 10,133.06, 13,983.36 and 5,656.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,133.06 : 13,983.36 = 5,656.69 : x
2. Step 2: Convert to fraction form
   10,133.06/13,983.36 = 5,656.69/x
3. Step 3: Cross multiply
   10,133.06x = 13,983.36 × 5,656.69
4. Step 4: Simplify right side
   10,133.06x = 79,099,476.51
5. Step 5: Solve for x
   x = 79,099,476.51/10,133.06
6. Step 6: Final answer
   x = 7,806.08