Finding the Fourth Proportional to 1,152.54, 1,727.01 and 781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.54 : 1,727.01 = 781.50 : x
2. Step 2: Convert to fraction form
   1,152.54/1,727.01 = 781.50/x
3. Step 3: Cross multiply
   1,152.54x = 1,727.01 × 781.50
4. Step 4: Simplify right side
   1,152.54x = 1,349,658.32
5. Step 5: Solve for x
   x = 1,349,658.32/1,152.54
6. Step 6: Final answer
   x = 1,171.03