Finding the Fourth Proportional to 10,742.76, 14,816.16 and 7,566.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.76 : 14,816.16 = 7,566.54 : x
2. Step 2: Convert to fraction form
   10,742.76/14,816.16 = 7,566.54/x
3. Step 3: Cross multiply
   10,742.76x = 14,816.16 × 7,566.54
4. Step 4: Simplify right side
   10,742.76x = 112,107,067.29
5. Step 5: Solve for x
   x = 112,107,067.29/10,742.76
6. Step 6: Final answer
   x = 10,435.59