Finding the Fourth Proportional to 2,654.61, 3,663.12 and 1,534.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.61 : 3,663.12 = 1,534.78 : x
2. Step 2: Convert to fraction form
   2,654.61/3,663.12 = 1,534.78/x
3. Step 3: Cross multiply
   2,654.61x = 3,663.12 × 1,534.78
4. Step 4: Simplify right side
   2,654.61x = 5,622,093.65
5. Step 5: Solve for x
   x = 5,622,093.65/2,654.61
6. Step 6: Final answer
   x = 2,117.86