Finding the Fourth Proportional to 10,100.53, 13,937.07 and 5,624.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.53 : 13,937.07 = 5,624.17 : x
2. Step 2: Convert to fraction form
   10,100.53/13,937.07 = 5,624.17/x
3. Step 3: Cross multiply
   10,100.53x = 13,937.07 × 5,624.17
4. Step 4: Simplify right side
   10,100.53x = 78,384,450.98
5. Step 5: Solve for x
   x = 78,384,450.98/10,100.53
6. Step 6: Final answer
   x = 7,760.43