Finding the Fourth Proportional to 10,012.58, 13,816.23 and 5,535.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.58 : 13,816.23 = 5,535.20 : x
2. Step 2: Convert to fraction form
   10,012.58/13,816.23 = 5,535.20/x
3. Step 3: Cross multiply
   10,012.58x = 13,816.23 × 5,535.20
4. Step 4: Simplify right side
   10,012.58x = 76,475,596.30
5. Step 5: Solve for x
   x = 76,475,596.30/10,012.58
6. Step 6: Final answer
   x = 7,637.95