Finding the Fourth Proportional to 1,287.77, 1,931.18 and 410.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.77 : 1,931.18 = 410.00 : x
2. Step 2: Convert to fraction form
   1,287.77/1,931.18 = 410.00/x
3. Step 3: Cross multiply
   1,287.77x = 1,931.18 × 410.00
4. Step 4: Simplify right side
   1,287.77x = 791,772.09
5. Step 5: Solve for x
   x = 791,772.09/1,287.77
6. Step 6: Final answer
   x = 614.84