Finding the Fourth Proportional to 1,384.47, 1,909.93 and 824.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.47 : 1,909.93 = 824.61 : x
2. Step 2: Convert to fraction form
   1,384.47/1,909.93 = 824.61/x
3. Step 3: Cross multiply
   1,384.47x = 1,909.93 × 824.61
4. Step 4: Simplify right side
   1,384.47x = 1,574,937.91
5. Step 5: Solve for x
   x = 1,574,937.91/1,384.47
6. Step 6: Final answer
   x = 1,137.58