Finding the Fourth Proportional to 1,155.60, 1,729.29 and 1,002.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.60 : 1,729.29 = 1,002.06 : x
2. Step 2: Convert to fraction form
   1,155.60/1,729.29 = 1,002.06/x
3. Step 3: Cross multiply
   1,155.60x = 1,729.29 × 1,002.06
4. Step 4: Simplify right side
   1,155.60x = 1,732,852.34
5. Step 5: Solve for x
   x = 1,732,852.34/1,155.60
6. Step 6: Final answer
   x = 1,499.53