Finding the Fourth Proportional to 10,151.81, 14,009.02 and 5,614.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151.81 : 14,009.02 = 5,614.33 : x
2. Step 2: Convert to fraction form
   10,151.81/14,009.02 = 5,614.33/x
3. Step 3: Cross multiply
   10,151.81x = 14,009.02 × 5,614.33
4. Step 4: Simplify right side
   10,151.81x = 78,651,261.26
5. Step 5: Solve for x
   x = 78,651,261.26/10,151.81
6. Step 6: Final answer
   x = 7,747.51