Finding the Fourth Proportional to 10,094.81, 13,931.75 and 5,619.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.81 : 13,931.75 = 5,619.56 : x
2. Step 2: Convert to fraction form
   10,094.81/13,931.75 = 5,619.56/x
3. Step 3: Cross multiply
   10,094.81x = 13,931.75 × 5,619.56
4. Step 4: Simplify right side
   10,094.81x = 78,290,207.27
5. Step 5: Solve for x
   x = 78,290,207.27/10,094.81
6. Step 6: Final answer
   x = 7,755.49