Finding the Fourth Proportional to 1,564.50, 2,348.46 and 784.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,348.46 = 784.29 : x
2. Step 2: Convert to fraction form
   1,564.50/2,348.46 = 784.29/x
3. Step 3: Cross multiply
   1,564.50x = 2,348.46 × 784.29
4. Step 4: Simplify right side
   1,564.50x = 1,841,873.69
5. Step 5: Solve for x
   x = 1,841,873.69/1,564.50
6. Step 6: Final answer
   x = 1,177.29