Finding the Fourth Proportional to 10,142.61, 13,977.02 and 7,304.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.61 : 13,977.02 = 7,304.63 : x
2. Step 2: Convert to fraction form
   10,142.61/13,977.02 = 7,304.63/x
3. Step 3: Cross multiply
   10,142.61x = 13,977.02 × 7,304.63
4. Step 4: Simplify right side
   10,142.61x = 102,096,889.72
5. Step 5: Solve for x
   x = 102,096,889.72/10,142.61
6. Step 6: Final answer
   x = 10,066.14