Finding the Fourth Proportional to 9,754.83, 13,461.75 and 5,563.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,754.83 : 13,461.75 = 5,563.35 : x
2. Step 2: Convert to fraction form
   9,754.83/13,461.75 = 5,563.35/x
3. Step 3: Cross multiply
   9,754.83x = 13,461.75 × 5,563.35
4. Step 4: Simplify right side
   9,754.83x = 74,892,426.86
5. Step 5: Solve for x
   x = 74,892,426.86/9,754.83
6. Step 6: Final answer
   x = 7,677.47