Finding the Fourth Proportional to 10,298.59, 14,212 and 5,582.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.59 : 14,212 = 5,582.86 : x
2. Step 2: Convert to fraction form
   10,298.59/14,212 = 5,582.86/x
3. Step 3: Cross multiply
   10,298.59x = 14,212 × 5,582.86
4. Step 4: Simplify right side
   10,298.59x = 79,343,606.32
5. Step 5: Solve for x
   x = 79,343,606.32/10,298.59
6. Step 6: Final answer
   x = 7,704.32