Finding the Fourth Proportional to 10,153.96, 14,012.35 and 5,677.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.96 : 14,012.35 = 5,677.65 : x
2. Step 2: Convert to fraction form
   10,153.96/14,012.35 = 5,677.65/x
3. Step 3: Cross multiply
   10,153.96x = 14,012.35 × 5,677.65
4. Step 4: Simplify right side
   10,153.96x = 79,557,204.78
5. Step 5: Solve for x
   x = 79,557,204.78/10,153.96
6. Step 6: Final answer
   x = 7,835.09