Finding the Fourth Proportional to 10,920.42, 16,384.05 and 4,598.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920.42 : 16,384.05 = 4,598.63 : x
2. Step 2: Convert to fraction form
   10,920.42/16,384.05 = 4,598.63/x
3. Step 3: Cross multiply
   10,920.42x = 16,384.05 × 4,598.63
4. Step 4: Simplify right side
   10,920.42x = 75,344,101.93
5. Step 5: Solve for x
   x = 75,344,101.93/10,920.42
6. Step 6: Final answer
   x = 6,899.38