Finding the Fourth Proportional to 10,820.31, 14,931.86 and 6,105.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820.31 : 14,931.86 = 6,105.57 : x
2. Step 2: Convert to fraction form
   10,820.31/14,931.86 = 6,105.57/x
3. Step 3: Cross multiply
   10,820.31x = 14,931.86 × 6,105.57
4. Step 4: Simplify right side
   10,820.31x = 91,167,485.93
5. Step 5: Solve for x
   x = 91,167,485.93/10,820.31
6. Step 6: Final answer
   x = 8,425.59