Finding the Fourth Proportional to 9,783.70, 13,500.61 and 5,535.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.70 : 13,500.61 = 5,535.15 : x
2. Step 2: Convert to fraction form
   9,783.70/13,500.61 = 5,535.15/x
3. Step 3: Cross multiply
   9,783.70x = 13,500.61 × 5,535.15
4. Step 4: Simplify right side
   9,783.70x = 74,727,901.44
5. Step 5: Solve for x
   x = 74,727,901.44/9,783.70
6. Step 6: Final answer
   x = 7,638.00