Finding the Fourth Proportional to 10,156.33, 14,017.34 and 6,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.33 : 14,017.34 = 6,178.69 : x
2. Step 2: Convert to fraction form
   10,156.33/14,017.34 = 6,178.69/x
3. Step 3: Cross multiply
   10,156.33x = 14,017.34 × 6,178.69
4. Step 4: Simplify right side
   10,156.33x = 86,608,697.50
5. Step 5: Solve for x
   x = 86,608,697.50/10,156.33
6. Step 6: Final answer
   x = 8,527.56