Finding the Fourth Proportional to 10,092.50, 13,927.71 and 5,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.50 : 13,927.71 = 5,676.50 : x
2. Step 2: Convert to fraction form
   10,092.50/13,927.71 = 5,676.50/x
3. Step 3: Cross multiply
   10,092.50x = 13,927.71 × 5,676.50
4. Step 4: Simplify right side
   10,092.50x = 79,060,645.82
5. Step 5: Solve for x
   x = 79,060,645.82/10,092.50
6. Step 6: Final answer
   x = 7,833.60