Finding the Fourth Proportional to 13,470, 18,585.78 and 7,804.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,470 : 18,585.78 = 7,804.42 : x
2. Step 2: Convert to fraction form
   13,470/18,585.78 = 7,804.42/x
3. Step 3: Cross multiply
   13,470x = 18,585.78 × 7,804.42
4. Step 4: Simplify right side
   13,470x = 145,051,233.15
5. Step 5: Solve for x
   x = 145,051,233.15/13,470
6. Step 6: Final answer
   x = 10,768.47