Finding the Fourth Proportional to 10,926.86, 16,384.52 and 4,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926.86 : 16,384.52 = 4,767.50 : x
2. Step 2: Convert to fraction form
   10,926.86/16,384.52 = 4,767.50/x
3. Step 3: Cross multiply
   10,926.86x = 16,384.52 × 4,767.50
4. Step 4: Simplify right side
   10,926.86x = 78,113,199.10
5. Step 5: Solve for x
   x = 78,113,199.10/10,926.86
6. Step 6: Final answer
   x = 7,148.73