Finding the Fourth Proportional to 10,133.69, 13,985.10 and 5,657.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,133.69 : 13,985.10 = 5,657.42 : x
2. Step 2: Convert to fraction form
   10,133.69/13,985.10 = 5,657.42/x
3. Step 3: Cross multiply
   10,133.69x = 13,985.10 × 5,657.42
4. Step 4: Simplify right side
   10,133.69x = 79,119,619.40
5. Step 5: Solve for x
   x = 79,119,619.40/10,133.69
6. Step 6: Final answer
   x = 7,807.59