Finding the Fourth Proportional to 1,735.53, 2,602.71 and 502.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735.53 : 2,602.71 = 502.59 : x
2. Step 2: Convert to fraction form
   1,735.53/2,602.71 = 502.59/x
3. Step 3: Cross multiply
   1,735.53x = 2,602.71 × 502.59
4. Step 4: Simplify right side
   1,735.53x = 1,308,096.02
5. Step 5: Solve for x
   x = 1,308,096.02/1,735.53
6. Step 6: Final answer
   x = 753.72