Finding the Fourth Proportional to 1,462.02, 2,193.41 and 768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.02 : 2,193.41 = 768.50 : x
2. Step 2: Convert to fraction form
   1,462.02/2,193.41 = 768.50/x
3. Step 3: Cross multiply
   1,462.02x = 2,193.41 × 768.50
4. Step 4: Simplify right side
   1,462.02x = 1,685,635.59
5. Step 5: Solve for x
   x = 1,685,635.59/1,462.02
6. Step 6: Final answer
   x = 1,152.95