Finding the Fourth Proportional to 10,350.51, 14,283.71 and 5,634.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,350.51 : 14,283.71 = 5,634.80 : x
2. Step 2: Convert to fraction form
   10,350.51/14,283.71 = 5,634.80/x
3. Step 3: Cross multiply
   10,350.51x = 14,283.71 × 5,634.80
4. Step 4: Simplify right side
   10,350.51x = 80,485,749.52
5. Step 5: Solve for x
   x = 80,485,749.52/10,350.51
6. Step 6: Final answer
   x = 7,776.02