Finding the Fourth Proportional to 10,153.98, 14,012.46 and 5,677.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.98 : 14,012.46 = 5,677.74 : x
2. Step 2: Convert to fraction form
   10,153.98/14,012.46 = 5,677.74/x
3. Step 3: Cross multiply
   10,153.98x = 14,012.46 × 5,677.74
4. Step 4: Simplify right side
   10,153.98x = 79,559,104.64
5. Step 5: Solve for x
   x = 79,559,104.64/10,153.98
6. Step 6: Final answer
   x = 7,835.26