Finding the Fourth Proportional to 10,153.35, 14,012.93 and 5,677.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.35 : 14,012.93 = 5,677.38 : x
2. Step 2: Convert to fraction form
   10,153.35/14,012.93 = 5,677.38/x
3. Step 3: Cross multiply
   10,153.35x = 14,012.93 × 5,677.38
4. Step 4: Simplify right side
   10,153.35x = 79,556,700.14
5. Step 5: Solve for x
   x = 79,556,700.14/10,153.35
6. Step 6: Final answer
   x = 7,835.51