Finding the Fourth Proportional to 7,642.64, 10,538.31 and 7,336.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.64 : 10,538.31 = 7,336.46 : x
2. Step 2: Convert to fraction form
   7,642.64/10,538.31 = 7,336.46/x
3. Step 3: Cross multiply
   7,642.64x = 10,538.31 × 7,336.46
4. Step 4: Simplify right side
   7,642.64x = 77,313,889.78
5. Step 5: Solve for x
   x = 77,313,889.78/7,642.64
6. Step 6: Final answer
   x = 10,116.12