Finding the Fourth Proportional to 9,097.56, 13,627.98 and 5,802.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.56 : 13,627.98 = 5,802.48 : x
2. Step 2: Convert to fraction form
   9,097.56/13,627.98 = 5,802.48/x
3. Step 3: Cross multiply
   9,097.56x = 13,627.98 × 5,802.48
4. Step 4: Simplify right side
   9,097.56x = 79,076,081.39
5. Step 5: Solve for x
   x = 79,076,081.39/9,097.56
6. Step 6: Final answer
   x = 8,692.01