Finding the Fourth Proportional to 1,499.85, 2,250.20 and 460.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.85 : 2,250.20 = 460.00 : x
2. Step 2: Convert to fraction form
   1,499.85/2,250.20 = 460.00/x
3. Step 3: Cross multiply
   1,499.85x = 2,250.20 × 460.00
4. Step 4: Simplify right side
   1,499.85x = 1,035,093.63
5. Step 5: Solve for x
   x = 1,035,093.63/1,499.85
6. Step 6: Final answer
   x = 690.13