Finding the Fourth Proportional to 10,122.00, 13,968.51 and 5,646.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.00 : 13,968.51 = 5,646.09 : x
2. Step 2: Convert to fraction form
   10,122.00/13,968.51 = 5,646.09/x
3. Step 3: Cross multiply
   10,122.00x = 13,968.51 × 5,646.09
4. Step 4: Simplify right side
   10,122.00x = 78,867,495.83
5. Step 5: Solve for x
   x = 78,867,495.83/10,122.00
6. Step 6: Final answer
   x = 7,791.69