Finding the Fourth Proportional to 11,461.68, 15,776.82 and 10,042.02

Step by Step Solution

1. Step 1: Write the proportion equation
   11,461.68 : 15,776.82 = 10,042.02 : x
2. Step 2: Convert to fraction form
   11,461.68/15,776.82 = 10,042.02/x
3. Step 3: Cross multiply
   11,461.68x = 15,776.82 × 10,042.02
4. Step 4: Simplify right side
   11,461.68x = 158,431,141.98
5. Step 5: Solve for x
   x = 158,431,141.98/11,461.68
6. Step 6: Final answer
   x = 13,822.68