Finding the Fourth Proportional to 1,188.34, 1,781.60 and 538.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.34 : 1,781.60 = 538.31 : x
2. Step 2: Convert to fraction form
   1,188.34/1,781.60 = 538.31/x
3. Step 3: Cross multiply
   1,188.34x = 1,781.60 × 538.31
4. Step 4: Simplify right side
   1,188.34x = 959,054.86
5. Step 5: Solve for x
   x = 959,054.86/1,188.34
6. Step 6: Final answer
   x = 807.06