Finding the Fourth Proportional to 10,099.99, 13,936.35 and 5,623.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.99 : 13,936.35 = 5,623.75 : x
2. Step 2: Convert to fraction form
   10,099.99/13,936.35 = 5,623.75/x
3. Step 3: Cross multiply
   10,099.99x = 13,936.35 × 5,623.75
4. Step 4: Simplify right side
   10,099.99x = 78,374,548.31
5. Step 5: Solve for x
   x = 78,374,548.31/10,099.99
6. Step 6: Final answer
   x = 7,759.86