Finding the Fourth Proportional to 1,009.53, 1,513.76 and 598.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.53 : 1,513.76 = 598.82 : x
2. Step 2: Convert to fraction form
   1,009.53/1,513.76 = 598.82/x
3. Step 3: Cross multiply
   1,009.53x = 1,513.76 × 598.82
4. Step 4: Simplify right side
   1,009.53x = 906,459.20
5. Step 5: Solve for x
   x = 906,459.20/1,009.53
6. Step 6: Final answer
   x = 897.90