Finding the Fourth Proportional to 10,610.32, 14,642.76 and 5,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610.32 : 14,642.76 = 5,894.50 : x
2. Step 2: Convert to fraction form
   10,610.32/14,642.76 = 5,894.50/x
3. Step 3: Cross multiply
   10,610.32x = 14,642.76 × 5,894.50
4. Step 4: Simplify right side
   10,610.32x = 86,311,748.82
5. Step 5: Solve for x
   x = 86,311,748.82/10,610.32
6. Step 6: Final answer
   x = 8,134.70