Finding the Fourth Proportional to 10,029.10, 13,839.61 and 5,490.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.10 : 13,839.61 = 5,490.90 : x
2. Step 2: Convert to fraction form
   10,029.10/13,839.61 = 5,490.90/x
3. Step 3: Cross multiply
   10,029.10x = 13,839.61 × 5,490.90
4. Step 4: Simplify right side
   10,029.10x = 75,991,914.55
5. Step 5: Solve for x
   x = 75,991,914.55/10,029.10
6. Step 6: Final answer
   x = 7,577.14