Finding the Fourth Proportional to 10,101, 13,938.96 and 5,624.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101 : 13,938.96 = 5,624.94 : x
2. Step 2: Convert to fraction form
   10,101/13,938.96 = 5,624.94/x
3. Step 3: Cross multiply
   10,101x = 13,938.96 × 5,624.94
4. Step 4: Simplify right side
   10,101x = 78,405,813.66
5. Step 5: Solve for x
   x = 78,405,813.66/10,101
6. Step 6: Final answer
   x = 7,762.18