Finding the Fourth Proportional to 10,101.06, 13,939.70 and 5,624.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.06 : 13,939.70 = 5,624.82 : x
2. Step 2: Convert to fraction form
   10,101.06/13,939.70 = 5,624.82/x
3. Step 3: Cross multiply
   10,101.06x = 13,939.70 × 5,624.82
4. Step 4: Simplify right side
   10,101.06x = 78,408,275.23
5. Step 5: Solve for x
   x = 78,408,275.23/10,101.06
6. Step 6: Final answer
   x = 7,762.38