Finding the Fourth Proportional to 1,440.16, 1,985.52 and 1,146.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,440.16 : 1,985.52 = 1,146.40 : x
2. Step 2: Convert to fraction form
   1,440.16/1,985.52 = 1,146.40/x
3. Step 3: Cross multiply
   1,440.16x = 1,985.52 × 1,146.40
4. Step 4: Simplify right side
   1,440.16x = 2,276,200.13
5. Step 5: Solve for x
   x = 2,276,200.13/1,440.16
6. Step 6: Final answer
   x = 1,580.52