Finding the Fourth Proportional to 10,049.98, 13,868.50 and 5,573.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,049.98 : 13,868.50 = 5,573.64 : x
2. Step 2: Convert to fraction form
   10,049.98/13,868.50 = 5,573.64/x
3. Step 3: Cross multiply
   10,049.98x = 13,868.50 × 5,573.64
4. Step 4: Simplify right side
   10,049.98x = 77,298,026.34
5. Step 5: Solve for x
   x = 77,298,026.34/10,049.98
6. Step 6: Final answer
   x = 7,691.36