Finding the Fourth Proportional to 9,757.10, 14,630.52 and 5,065.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.10 : 14,630.52 = 5,065.64 : x
2. Step 2: Convert to fraction form
   9,757.10/14,630.52 = 5,065.64/x
3. Step 3: Cross multiply
   9,757.10x = 14,630.52 × 5,065.64
4. Step 4: Simplify right side
   9,757.10x = 74,112,915.98
5. Step 5: Solve for x
   x = 74,112,915.98/9,757.10
6. Step 6: Final answer
   x = 7,595.80