Finding the Fourth Proportional to 10,153.08, 14,010.54 and 5,677.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.08 : 14,010.54 = 5,677.02 : x
2. Step 2: Convert to fraction form
   10,153.08/14,010.54 = 5,677.02/x
3. Step 3: Cross multiply
   10,153.08x = 14,010.54 × 5,677.02
4. Step 4: Simplify right side
   10,153.08x = 79,538,115.79
5. Step 5: Solve for x
   x = 79,538,115.79/10,153.08
6. Step 6: Final answer
   x = 7,833.89