Finding the Fourth Proportional to 2,696.56, 4,042.32 and 1,462.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696.56 : 4,042.32 = 1,462.16 : x
2. Step 2: Convert to fraction form
   2,696.56/4,042.32 = 1,462.16/x
3. Step 3: Cross multiply
   2,696.56x = 4,042.32 × 1,462.16
4. Step 4: Simplify right side
   2,696.56x = 5,910,518.61
5. Step 5: Solve for x
   x = 5,910,518.61/2,696.56
6. Step 6: Final answer
   x = 2,191.87