Finding the Fourth Proportional to 10,100.19, 13,938.25 and 5,624.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.19 : 13,938.25 = 5,624.34 : x
2. Step 2: Convert to fraction form
   10,100.19/13,938.25 = 5,624.34/x
3. Step 3: Cross multiply
   10,100.19x = 13,938.25 × 5,624.34
4. Step 4: Simplify right side
   10,100.19x = 78,393,417.04
5. Step 5: Solve for x
   x = 78,393,417.04/10,100.19
6. Step 6: Final answer
   x = 7,761.58