Finding the Fourth Proportional to 10,291.86, 14,202.74 and 5,576.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.86 : 14,202.74 = 5,576.14 : x
2. Step 2: Convert to fraction form
   10,291.86/14,202.74 = 5,576.14/x
3. Step 3: Cross multiply
   10,291.86x = 14,202.74 × 5,576.14
4. Step 4: Simplify right side
   10,291.86x = 79,196,498.32
5. Step 5: Solve for x
   x = 79,196,498.32/10,291.86
6. Step 6: Final answer
   x = 7,695.06