Finding the Fourth Proportional to 1,696.50, 2,545.71 and 784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,696.50 : 2,545.71 = 784.50 : x
2. Step 2: Convert to fraction form
   1,696.50/2,545.71 = 784.50/x
3. Step 3: Cross multiply
   1,696.50x = 2,545.71 × 784.50
4. Step 4: Simplify right side
   1,696.50x = 1,997,109.50
5. Step 5: Solve for x
   x = 1,997,109.50/1,696.50
6. Step 6: Final answer
   x = 1,177.19