Finding the Fourth Proportional to 1,543.50, 2,312.69 and 1,022.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.50 : 2,312.69 = 1,022.81 : x
2. Step 2: Convert to fraction form
   1,543.50/2,312.69 = 1,022.81/x
3. Step 3: Cross multiply
   1,543.50x = 2,312.69 × 1,022.81
4. Step 4: Simplify right side
   1,543.50x = 2,365,425.78
5. Step 5: Solve for x
   x = 2,365,425.78/1,543.50
6. Step 6: Final answer
   x = 1,532.51