Finding the Fourth Proportional to 10,153.83, 14,012.46 and 5,677.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.83 : 14,012.46 = 5,677.54 : x
2. Step 2: Convert to fraction form
   10,153.83/14,012.46 = 5,677.54/x
3. Step 3: Cross multiply
   10,153.83x = 14,012.46 × 5,677.54
4. Step 4: Simplify right side
   10,153.83x = 79,556,357.91
5. Step 5: Solve for x
   x = 79,556,357.91/10,153.83
6. Step 6: Final answer
   x = 7,835.11