Finding the Fourth Proportional to 1,002.93, 1,500.44 and 770.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.93 : 1,500.44 = 770.06 : x
2. Step 2: Convert to fraction form
   1,002.93/1,500.44 = 770.06/x
3. Step 3: Cross multiply
   1,002.93x = 1,500.44 × 770.06
4. Step 4: Simplify right side
   1,002.93x = 1,155,428.83
5. Step 5: Solve for x
   x = 1,155,428.83/1,002.93
6. Step 6: Final answer
   x = 1,152.05