Finding the Fourth Proportional to 9,578.79, 13,218.39 and 5,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.79 : 13,218.39 = 5,602.50 : x
2. Step 2: Convert to fraction form
   9,578.79/13,218.39 = 5,602.50/x
3. Step 3: Cross multiply
   9,578.79x = 13,218.39 × 5,602.50
4. Step 4: Simplify right side
   9,578.79x = 74,056,029.98
5. Step 5: Solve for x
   x = 74,056,029.98/9,578.79
6. Step 6: Final answer
   x = 7,731.25