Finding the Fourth Proportional to 1,253.02, 1,881.42 and 768.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.02 : 1,881.42 = 768.10 : x
2. Step 2: Convert to fraction form
   1,253.02/1,881.42 = 768.10/x
3. Step 3: Cross multiply
   1,253.02x = 1,881.42 × 768.10
4. Step 4: Simplify right side
   1,253.02x = 1,445,118.70
5. Step 5: Solve for x
   x = 1,445,118.70/1,253.02
6. Step 6: Final answer
   x = 1,153.31