Finding the Fourth Proportional to 10,100.90, 13,939.28 and 5,624.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.90 : 13,939.28 = 5,624.64 : x
2. Step 2: Convert to fraction form
   10,100.90/13,939.28 = 5,624.64/x
3. Step 3: Cross multiply
   10,100.90x = 13,939.28 × 5,624.64
4. Step 4: Simplify right side
   10,100.90x = 78,403,431.86
5. Step 5: Solve for x
   x = 78,403,431.86/10,100.90
6. Step 6: Final answer
   x = 7,762.02