Finding the Fourth Proportional to 10,298.88, 14,212.52 and 5,583.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.88 : 14,212.52 = 5,583.20 : x
2. Step 2: Convert to fraction form
   10,298.88/14,212.52 = 5,583.20/x
3. Step 3: Cross multiply
   10,298.88x = 14,212.52 × 5,583.20
4. Step 4: Simplify right side
   10,298.88x = 79,351,341.66
5. Step 5: Solve for x
   x = 79,351,341.66/10,298.88
6. Step 6: Final answer
   x = 7,704.85