Finding the Fourth Proportional to 10,100.94, 15,138.75 and 5,409.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.94 : 15,138.75 = 5,409.32 : x
2. Step 2: Convert to fraction form
   10,100.94/15,138.75 = 5,409.32/x
3. Step 3: Cross multiply
   10,100.94x = 15,138.75 × 5,409.32
4. Step 4: Simplify right side
   10,100.94x = 81,890,343.15
5. Step 5: Solve for x
   x = 81,890,343.15/10,100.94
6. Step 6: Final answer
   x = 8,107.20