Finding the Fourth Proportional to 1,781.50, 2,457.87 and 1,152.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.50 : 2,457.87 = 1,152.82 : x
2. Step 2: Convert to fraction form
   1,781.50/2,457.87 = 1,152.82/x
3. Step 3: Cross multiply
   1,781.50x = 2,457.87 × 1,152.82
4. Step 4: Simplify right side
   1,781.50x = 2,833,494.25
5. Step 5: Solve for x
   x = 2,833,494.25/1,781.50
6. Step 6: Final answer
   x = 1,590.51