Finding the Fourth Proportional to 10,499.76, 14,477.67 and 7,842.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.76 : 14,477.67 = 7,842.69 : x
2. Step 2: Convert to fraction form
   10,499.76/14,477.67 = 7,842.69/x
3. Step 3: Cross multiply
   10,499.76x = 14,477.67 × 7,842.69
4. Step 4: Simplify right side
   10,499.76x = 113,543,877.73
5. Step 5: Solve for x
   x = 113,543,877.73/10,499.76
6. Step 6: Final answer
   x = 10,813.95