Finding the Fourth Proportional to 1,748.75, 2,414.50 and 1,160.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.75 : 2,414.50 = 1,160.51 : x
2. Step 2: Convert to fraction form
   1,748.75/2,414.50 = 1,160.51/x
3. Step 3: Cross multiply
   1,748.75x = 2,414.50 × 1,160.51
4. Step 4: Simplify right side
   1,748.75x = 2,802,051.40
5. Step 5: Solve for x
   x = 2,802,051.40/1,748.75
6. Step 6: Final answer
   x = 1,602.32