Finding the Fourth Proportional to 1,355.19, 1,870.06 and 824.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.19 : 1,870.06 = 824.00 : x
2. Step 2: Convert to fraction form
   1,355.19/1,870.06 = 824.00/x
3. Step 3: Cross multiply
   1,355.19x = 1,870.06 × 824.00
4. Step 4: Simplify right side
   1,355.19x = 1,540,921.06
5. Step 5: Solve for x
   x = 1,540,921.06/1,355.19
6. Step 6: Final answer
   x = 1,137.05