Finding the Fourth Proportional to 10,101.12, 13,939.23 and 5,624.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.12 : 13,939.23 = 5,624.78 : x
2. Step 2: Convert to fraction form
   10,101.12/13,939.23 = 5,624.78/x
3. Step 3: Cross multiply
   10,101.12x = 13,939.23 × 5,624.78
4. Step 4: Simplify right side
   10,101.12x = 78,405,032.42
5. Step 5: Solve for x
   x = 78,405,032.42/10,101.12
6. Step 6: Final answer
   x = 7,762.01