Finding the Fourth Proportional to 1,382.17, 1,907.38 and 784.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.17 : 1,907.38 = 784.66 : x
2. Step 2: Convert to fraction form
   1,382.17/1,907.38 = 784.66/x
3. Step 3: Cross multiply
   1,382.17x = 1,907.38 × 784.66
4. Step 4: Simplify right side
   1,382.17x = 1,496,638.27
5. Step 5: Solve for x
   x = 1,496,638.27/1,382.17
6. Step 6: Final answer
   x = 1,082.82