Finding the Fourth Proportional to 1,531.71, 2,114.23 and 869.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,531.71 : 2,114.23 = 869.00 : x
2. Step 2: Convert to fraction form
   1,531.71/2,114.23 = 869.00/x
3. Step 3: Cross multiply
   1,531.71x = 2,114.23 × 869.00
4. Step 4: Simplify right side
   1,531.71x = 1,837,255.30
5. Step 5: Solve for x
   x = 1,837,255.30/1,531.71
6. Step 6: Final answer
   x = 1,199.48