Finding the Fourth Proportional to 1,003.56, 1,501.35 and 770.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.56 : 1,501.35 = 770.68 : x
2. Step 2: Convert to fraction form
   1,003.56/1,501.35 = 770.68/x
3. Step 3: Cross multiply
   1,003.56x = 1,501.35 × 770.68
4. Step 4: Simplify right side
   1,003.56x = 1,157,060.42
5. Step 5: Solve for x
   x = 1,157,060.42/1,003.56
6. Step 6: Final answer
   x = 1,152.96