Finding the Fourth Proportional to 10,097.40, 13,933.62 and 5,620.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.40 : 13,933.62 = 5,620.86 : x
2. Step 2: Convert to fraction form
   10,097.40/13,933.62 = 5,620.86/x
3. Step 3: Cross multiply
   10,097.40x = 13,933.62 × 5,620.86
4. Step 4: Simplify right side
   10,097.40x = 78,318,927.31
5. Step 5: Solve for x
   x = 78,318,927.31/10,097.40
6. Step 6: Final answer
   x = 7,756.35