Finding the Fourth Proportional to 10,091.56, 15,146.52 and 5,164.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.56 : 15,146.52 = 5,164.60 : x
2. Step 2: Convert to fraction form
   10,091.56/15,146.52 = 5,164.60/x
3. Step 3: Cross multiply
   10,091.56x = 15,146.52 × 5,164.60
4. Step 4: Simplify right side
   10,091.56x = 78,225,717.19
5. Step 5: Solve for x
   x = 78,225,717.19/10,091.56
6. Step 6: Final answer
   x = 7,751.60