Finding the Fourth Proportional to 10,134.77, 13,984.38 and 5,658.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,134.77 : 13,984.38 = 5,658.30 : x
2. Step 2: Convert to fraction form
   10,134.77/13,984.38 = 5,658.30/x
3. Step 3: Cross multiply
   10,134.77x = 13,984.38 × 5,658.30
4. Step 4: Simplify right side
   10,134.77x = 79,127,817.35
5. Step 5: Solve for x
   x = 79,127,817.35/10,134.77
6. Step 6: Final answer
   x = 7,807.56