Finding the Fourth Proportional to 1,549.60, 2,314.56 and 1,116.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.60 : 2,314.56 = 1,116.48 : x
2. Step 2: Convert to fraction form
   1,549.60/2,314.56 = 1,116.48/x
3. Step 3: Cross multiply
   1,549.60x = 2,314.56 × 1,116.48
4. Step 4: Simplify right side
   1,549.60x = 2,584,159.95
5. Step 5: Solve for x
   x = 2,584,159.95/1,549.60
6. Step 6: Final answer
   x = 1,667.63