Finding the Fourth Proportional to 9,812.51, 13,540.98 and 5,563.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.51 : 13,540.98 = 5,563.96 : x
2. Step 2: Convert to fraction form
   9,812.51/13,540.98 = 5,563.96/x
3. Step 3: Cross multiply
   9,812.51x = 13,540.98 × 5,563.96
4. Step 4: Simplify right side
   9,812.51x = 75,341,441.67
5. Step 5: Solve for x
   x = 75,341,441.67/9,812.51
6. Step 6: Final answer
   x = 7,678.10