Finding the Fourth Proportional to 10,154.34, 14,012.91 and 5,678.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.34 : 14,012.91 = 5,678.10 : x
2. Step 2: Convert to fraction form
   10,154.34/14,012.91 = 5,678.10/x
3. Step 3: Cross multiply
   10,154.34x = 14,012.91 × 5,678.10
4. Step 4: Simplify right side
   10,154.34x = 79,566,704.27
5. Step 5: Solve for x
   x = 79,566,704.27/10,154.34
6. Step 6: Final answer
   x = 7,835.73