Finding the Fourth Proportional to 10,664.25, 16,002.14 and 5,192.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,664.25 : 16,002.14 = 5,192.25 : x
2. Step 2: Convert to fraction form
   10,664.25/16,002.14 = 5,192.25/x
3. Step 3: Cross multiply
   10,664.25x = 16,002.14 × 5,192.25
4. Step 4: Simplify right side
   10,664.25x = 83,087,085.45
5. Step 5: Solve for x
   x = 83,087,085.45/10,664.25
6. Step 6: Final answer
   x = 7,791.18