Finding the Fourth Proportional to 11,185.29, 15,460.38 and 9,830.74

Step by Step Solution

1. Step 1: Write the proportion equation
   11,185.29 : 15,460.38 = 9,830.74 : x
2. Step 2: Convert to fraction form
   11,185.29/15,460.38 = 9,830.74/x
3. Step 3: Cross multiply
   11,185.29x = 15,460.38 × 9,830.74
4. Step 4: Simplify right side
   11,185.29x = 151,986,925.89
5. Step 5: Solve for x
   x = 151,986,925.89/11,185.29
6. Step 6: Final answer
   x = 13,588.11