Finding the Fourth Proportional to 10,142.42, 14,014.42 and 7,804.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.42 : 14,014.42 = 7,804.76 : x
2. Step 2: Convert to fraction form
   10,142.42/14,014.42 = 7,804.76/x
3. Step 3: Cross multiply
   10,142.42x = 14,014.42 × 7,804.76
4. Step 4: Simplify right side
   10,142.42x = 109,379,095.06
5. Step 5: Solve for x
   x = 109,379,095.06/10,142.42
6. Step 6: Final answer
   x = 10,784.32