Finding the Fourth Proportional to 1,564.83, 2,347.56 and 785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.83 : 2,347.56 = 785.34 : x
2. Step 2: Convert to fraction form
   1,564.83/2,347.56 = 785.34/x
3. Step 3: Cross multiply
   1,564.83x = 2,347.56 × 785.34
4. Step 4: Simplify right side
   1,564.83x = 1,843,632.77
5. Step 5: Solve for x
   x = 1,843,632.77/1,564.83
6. Step 6: Final answer
   x = 1,178.17