Finding the Fourth Proportional to 10,145.34, 14,000.49 and 5,669.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,145.34 : 14,000.49 = 5,669.10 : x
2. Step 2: Convert to fraction form
   10,145.34/14,000.49 = 5,669.10/x
3. Step 3: Cross multiply
   10,145.34x = 14,000.49 × 5,669.10
4. Step 4: Simplify right side
   10,145.34x = 79,370,177.86
5. Step 5: Solve for x
   x = 79,370,177.86/10,145.34
6. Step 6: Final answer
   x = 7,823.31