Finding the Fourth Proportional to 1,705.59, 2,353.68 and 1,146.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.59 : 2,353.68 = 1,146.76 : x
2. Step 2: Convert to fraction form
   1,705.59/2,353.68 = 1,146.76/x
3. Step 3: Cross multiply
   1,705.59x = 2,353.68 × 1,146.76
4. Step 4: Simplify right side
   1,705.59x = 2,699,100.19
5. Step 5: Solve for x
   x = 2,699,100.19/1,705.59
6. Step 6: Final answer
   x = 1,582.50