Finding the Fourth Proportional to 1,355.86, 2,034.30 and 770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.86 : 2,034.30 = 770.50 : x
2. Step 2: Convert to fraction form
   1,355.86/2,034.30 = 770.50/x
3. Step 3: Cross multiply
   1,355.86x = 2,034.30 × 770.50
4. Step 4: Simplify right side
   1,355.86x = 1,567,417.81
5. Step 5: Solve for x
   x = 1,567,417.81/1,355.86
6. Step 6: Final answer
   x = 1,156.04