Finding the Fourth Proportional to 10,298.19, 14,211.54 and 5,582.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.19 : 14,211.54 = 5,582.46 : x
2. Step 2: Convert to fraction form
   10,298.19/14,211.54 = 5,582.46/x
3. Step 3: Cross multiply
   10,298.19x = 14,211.54 × 5,582.46
4. Step 4: Simplify right side
   10,298.19x = 79,335,353.59
5. Step 5: Solve for x
   x = 79,335,353.59/10,298.19
6. Step 6: Final answer
   x = 7,703.82