Finding the Fourth Proportional to 10,101.22, 13,938.69 and 5,624.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.22 : 13,938.69 = 5,624.80 : x
2. Step 2: Convert to fraction form
   10,101.22/13,938.69 = 5,624.80/x
3. Step 3: Cross multiply
   10,101.22x = 13,938.69 × 5,624.80
4. Step 4: Simplify right side
   10,101.22x = 78,402,343.51
5. Step 5: Solve for x
   x = 78,402,343.51/10,101.22
6. Step 6: Final answer
   x = 7,761.67