Finding the Fourth Proportional to 11,641.71, 16,058.31 and 7,102.32

Step by Step Solution

1. Step 1: Write the proportion equation
   11,641.71 : 16,058.31 = 7,102.32 : x
2. Step 2: Convert to fraction form
   11,641.71/16,058.31 = 7,102.32/x
3. Step 3: Cross multiply
   11,641.71x = 16,058.31 × 7,102.32
4. Step 4: Simplify right side
   11,641.71x = 114,051,256.28
5. Step 5: Solve for x
   x = 114,051,256.28/11,641.71
6. Step 6: Final answer
   x = 9,796.78