Finding the Fourth Proportional to 10,153.84, 14,012.22 and 5,677.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.84 : 14,012.22 = 5,677.60 : x
2. Step 2: Convert to fraction form
   10,153.84/14,012.22 = 5,677.60/x
3. Step 3: Cross multiply
   10,153.84x = 14,012.22 × 5,677.60
4. Step 4: Simplify right side
   10,153.84x = 79,555,780.27
5. Step 5: Solve for x
   x = 79,555,780.27/10,153.84
6. Step 6: Final answer
   x = 7,835.04