Finding the Fourth Proportional to 1,064.61, 1,468.15 and 705.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.61 : 1,468.15 = 705.06 : x
2. Step 2: Convert to fraction form
   1,064.61/1,468.15 = 705.06/x
3. Step 3: Cross multiply
   1,064.61x = 1,468.15 × 705.06
4. Step 4: Simplify right side
   1,064.61x = 1,035,133.84
5. Step 5: Solve for x
   x = 1,035,133.84/1,064.61
6. Step 6: Final answer
   x = 972.31