Finding the Fourth Proportional to 10,100.08, 13,938.01 and 5,623.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.08 : 13,938.01 = 5,623.56 : x
2. Step 2: Convert to fraction form
   10,100.08/13,938.01 = 5,623.56/x
3. Step 3: Cross multiply
   10,100.08x = 13,938.01 × 5,623.56
4. Step 4: Simplify right side
   10,100.08x = 78,381,235.52
5. Step 5: Solve for x
   x = 78,381,235.52/10,100.08
6. Step 6: Final answer
   x = 7,760.46