Finding the Fourth Proportional to 10,155.84, 14,014.96 and 5,679.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.84 : 14,014.96 = 5,679.60 : x
2. Step 2: Convert to fraction form
   10,155.84/14,014.96 = 5,679.60/x
3. Step 3: Cross multiply
   10,155.84x = 14,014.96 × 5,679.60
4. Step 4: Simplify right side
   10,155.84x = 79,599,366.82
5. Step 5: Solve for x
   x = 79,599,366.82/10,155.84
6. Step 6: Final answer
   x = 7,837.79