Finding the Fourth Proportional to 10,074.10, 13,902.75 and 5,597.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.10 : 13,902.75 = 5,597.86 : x
2. Step 2: Convert to fraction form
   10,074.10/13,902.75 = 5,597.86/x
3. Step 3: Cross multiply
   10,074.10x = 13,902.75 × 5,597.86
4. Step 4: Simplify right side
   10,074.10x = 77,825,648.12
5. Step 5: Solve for x
   x = 77,825,648.12/10,074.10
6. Step 6: Final answer
   x = 7,725.32