Finding the Fourth Proportional to 9,533, 14,300.50 and 2,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,533 : 14,300.50 = 2,607.50 : x
2. Step 2: Convert to fraction form
   9,533/14,300.50 = 2,607.50/x
3. Step 3: Cross multiply
   9,533x = 14,300.50 × 2,607.50
4. Step 4: Simplify right side
   9,533x = 37,288,553.75
5. Step 5: Solve for x
   x = 37,288,553.75/9,533
6. Step 6: Final answer
   x = 3,911.52