Finding the Fourth Proportional to 10,610.64, 14,642.04 and 5,894.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610.64 : 14,642.04 = 5,894.76 : x
2. Step 2: Convert to fraction form
   10,610.64/14,642.04 = 5,894.76/x
3. Step 3: Cross multiply
   10,610.64x = 14,642.04 × 5,894.76
4. Step 4: Simplify right side
   10,610.64x = 86,311,311.71
5. Step 5: Solve for x
   x = 86,311,311.71/10,610.64
6. Step 6: Final answer
   x = 8,134.41