Finding the Fourth Proportional to 9,817.56, 13,546.71 and 5,625

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.56 : 13,546.71 = 5,625 : x
2. Step 2: Convert to fraction form
   9,817.56/13,546.71 = 5,625/x
3. Step 3: Cross multiply
   9,817.56x = 13,546.71 × 5,625
4. Step 4: Simplify right side
   9,817.56x = 76,200,243.75
5. Step 5: Solve for x
   x = 76,200,243.75/9,817.56
6. Step 6: Final answer
   x = 7,761.63