Finding the Fourth Proportional to 10,097.10, 15,146.22 and 3,077.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.10 : 15,146.22 = 3,077.34 : x
2. Step 2: Convert to fraction form
   10,097.10/15,146.22 = 3,077.34/x
3. Step 3: Cross multiply
   10,097.10x = 15,146.22 × 3,077.34
4. Step 4: Simplify right side
   10,097.10x = 46,610,123.63
5. Step 5: Solve for x
   x = 46,610,123.63/10,097.10
6. Step 6: Final answer
   x = 4,616.19