Finding the Fourth Proportional to 11,458.62, 15,777.60 and 10,034.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,458.62 : 15,777.60 = 10,034.10 : x
2. Step 2: Convert to fraction form
   11,458.62/15,777.60 = 10,034.10/x
3. Step 3: Cross multiply
   11,458.62x = 15,777.60 × 10,034.10
4. Step 4: Simplify right side
   11,458.62x = 158,314,016.16
5. Step 5: Solve for x
   x = 158,314,016.16/11,458.62
6. Step 6: Final answer
   x = 13,816.15