Finding the Fourth Proportional to 1,567.83, 2,352.06 and 788.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.83 : 2,352.06 = 788.34 : x
2. Step 2: Convert to fraction form
   1,567.83/2,352.06 = 788.34/x
3. Step 3: Cross multiply
   1,567.83x = 2,352.06 × 788.34
4. Step 4: Simplify right side
   1,567.83x = 1,854,222.98
5. Step 5: Solve for x
   x = 1,854,222.98/1,567.83
6. Step 6: Final answer
   x = 1,182.67