Finding the Fourth Proportional to 10,012.29, 13,816.81 and 5,535.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.29 : 13,816.81 = 5,535.95 : x
2. Step 2: Convert to fraction form
   10,012.29/13,816.81 = 5,535.95/x
3. Step 3: Cross multiply
   10,012.29x = 13,816.81 × 5,535.95
4. Step 4: Simplify right side
   10,012.29x = 76,489,107.16
5. Step 5: Solve for x
   x = 76,489,107.16/10,012.29
6. Step 6: Final answer
   x = 7,639.52