Finding the Fourth Proportional to 5,105.10, 7,658.17 and 1,407.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.10 : 7,658.17 = 1,407.32 : x
2. Step 2: Convert to fraction form
   5,105.10/7,658.17 = 1,407.32/x
3. Step 3: Cross multiply
   5,105.10x = 7,658.17 × 1,407.32
4. Step 4: Simplify right side
   5,105.10x = 10,777,511.43
5. Step 5: Solve for x
   x = 10,777,511.43/5,105.10
6. Step 6: Final answer
   x = 2,111.13