Finding the Fourth Proportional to 1,384.21, 1,910.15 and 824.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.21 : 1,910.15 = 824.34 : x
2. Step 2: Convert to fraction form
   1,384.21/1,910.15 = 824.34/x
3. Step 3: Cross multiply
   1,384.21x = 1,910.15 × 824.34
4. Step 4: Simplify right side
   1,384.21x = 1,574,619.18
5. Step 5: Solve for x
   x = 1,574,619.18/1,384.21
6. Step 6: Final answer
   x = 1,137.56