Finding the Fourth Proportional to 10,100.33, 13,938.46 and 5,624.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.33 : 13,938.46 = 5,624.94 : x
2. Step 2: Convert to fraction form
   10,100.33/13,938.46 = 5,624.94/x
3. Step 3: Cross multiply
   10,100.33x = 13,938.46 × 5,624.94
4. Step 4: Simplify right side
   10,100.33x = 78,403,001.19
5. Step 5: Solve for x
   x = 78,403,001.19/10,100.33
6. Step 6: Final answer
   x = 7,762.42