Finding the Fourth Proportional to 9,687.56, 14,533.52 and 5,302.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,687.56 : 14,533.52 = 5,302.76 : x
2. Step 2: Convert to fraction form
   9,687.56/14,533.52 = 5,302.76/x
3. Step 3: Cross multiply
   9,687.56x = 14,533.52 × 5,302.76
4. Step 4: Simplify right side
   9,687.56x = 77,067,768.52
5. Step 5: Solve for x
   x = 77,067,768.52/9,687.56
6. Step 6: Final answer
   x = 7,955.33