Finding the Fourth Proportional to 10,320, 14,241.60 and 5,604.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 14,241.60 = 5,604.32 : x
2. Step 2: Convert to fraction form
   10,320/14,241.60 = 5,604.32/x
3. Step 3: Cross multiply
   10,320x = 14,241.60 × 5,604.32
4. Step 4: Simplify right side
   10,320x = 79,814,483.71
5. Step 5: Solve for x
   x = 79,814,483.71/10,320
6. Step 6: Final answer
   x = 7,733.96