Finding the Fourth Proportional to 10,941.30, 16,389.27 and 5,102.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,941.30 : 16,389.27 = 5,102.82 : x
2. Step 2: Convert to fraction form
   10,941.30/16,389.27 = 5,102.82/x
3. Step 3: Cross multiply
   10,941.30x = 16,389.27 × 5,102.82
4. Step 4: Simplify right side
   10,941.30x = 83,631,494.74
5. Step 5: Solve for x
   x = 83,631,494.74/10,941.30
6. Step 6: Final answer
   x = 7,643.65