Finding the Fourth Proportional to 1,746.49, 2,411.15 and 1,157.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.49 : 2,411.15 = 1,157.82 : x
2. Step 2: Convert to fraction form
   1,746.49/2,411.15 = 1,157.82/x
3. Step 3: Cross multiply
   1,746.49x = 2,411.15 × 1,157.82
4. Step 4: Simplify right side
   1,746.49x = 2,791,677.69
5. Step 5: Solve for x
   x = 2,791,677.69/1,746.49
6. Step 6: Final answer
   x = 1,598.45