Finding the Fourth Proportional to 10,097.34, 13,934 and 5,620.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.34 : 13,934 = 5,620.94 : x
2. Step 2: Convert to fraction form
   10,097.34/13,934 = 5,620.94/x
3. Step 3: Cross multiply
   10,097.34x = 13,934 × 5,620.94
4. Step 4: Simplify right side
   10,097.34x = 78,322,177.96
5. Step 5: Solve for x
   x = 78,322,177.96/10,097.34
6. Step 6: Final answer
   x = 7,756.71