Finding the Fourth Proportional to 10,153.63, 14,012.33 and 5,677.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.63 : 14,012.33 = 5,677.57 : x
2. Step 2: Convert to fraction form
   10,153.63/14,012.33 = 5,677.57/x
3. Step 3: Cross multiply
   10,153.63x = 14,012.33 × 5,677.57
4. Step 4: Simplify right side
   10,153.63x = 79,555,984.44
5. Step 5: Solve for x
   x = 79,555,984.44/10,153.63
6. Step 6: Final answer
   x = 7,835.23