Finding the Fourth Proportional to 10,153.59, 14,011.89 and 5,677.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.59 : 14,011.89 = 5,677.35 : x
2. Step 2: Convert to fraction form
   10,153.59/14,011.89 = 5,677.35/x
3. Step 3: Cross multiply
   10,153.59x = 14,011.89 × 5,677.35
4. Step 4: Simplify right side
   10,153.59x = 79,550,403.69
5. Step 5: Solve for x
   x = 79,550,403.69/10,153.59
6. Step 6: Final answer
   x = 7,834.71