Finding the Fourth Proportional to 10,026.50, 13,836.38 and 5,549.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.50 : 13,836.38 = 5,549.99 : x
2. Step 2: Convert to fraction form
   10,026.50/13,836.38 = 5,549.99/x
3. Step 3: Cross multiply
   10,026.50x = 13,836.38 × 5,549.99
4. Step 4: Simplify right side
   10,026.50x = 76,791,777.48
5. Step 5: Solve for x
   x = 76,791,777.48/10,026.50
6. Step 6: Final answer
   x = 7,658.88