Finding the Fourth Proportional to 10,378.89, 15,543.95 and 5,097.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.89 : 15,543.95 = 5,097.42 : x
2. Step 2: Convert to fraction form
   10,378.89/15,543.95 = 5,097.42/x
3. Step 3: Cross multiply
   10,378.89x = 15,543.95 × 5,097.42
4. Step 4: Simplify right side
   10,378.89x = 79,234,016.12
5. Step 5: Solve for x
   x = 79,234,016.12/10,378.89
6. Step 6: Final answer
   x = 7,634.15