Finding the Fourth Proportional to 10,074.56, 13,902.30 and 5,598.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.56 : 13,902.30 = 5,598.05 : x
2. Step 2: Convert to fraction form
   10,074.56/13,902.30 = 5,598.05/x
3. Step 3: Cross multiply
   10,074.56x = 13,902.30 × 5,598.05
4. Step 4: Simplify right side
   10,074.56x = 77,825,701.00
5. Step 5: Solve for x
   x = 77,825,701.00/10,074.56
6. Step 6: Final answer
   x = 7,724.98