Finding the Fourth Proportional to 1,383.89, 2,075.80 and 410.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.89 : 2,075.80 = 410.00 : x
2. Step 2: Convert to fraction form
   1,383.89/2,075.80 = 410.00/x
3. Step 3: Cross multiply
   1,383.89x = 2,075.80 × 410.00
4. Step 4: Simplify right side
   1,383.89x = 851,068.52
5. Step 5: Solve for x
   x = 851,068.52/1,383.89
6. Step 6: Final answer
   x = 614.98