Finding the Fourth Proportional to 10,156.68, 14,016.54 and 5,680.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.68 : 14,016.54 = 5,680.74 : x
2. Step 2: Convert to fraction form
   10,156.68/14,016.54 = 5,680.74/x
3. Step 3: Cross multiply
   10,156.68x = 14,016.54 × 5,680.74
4. Step 4: Simplify right side
   10,156.68x = 79,624,319.44
5. Step 5: Solve for x
   x = 79,624,319.44/10,156.68
6. Step 6: Final answer
   x = 7,839.60