Finding the Fourth Proportional to 1,156.50, 1,735.56 and 507.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.50 : 1,735.56 = 507.42 : x
2. Step 2: Convert to fraction form
   1,156.50/1,735.56 = 507.42/x
3. Step 3: Cross multiply
   1,156.50x = 1,735.56 × 507.42
4. Step 4: Simplify right side
   1,156.50x = 880,657.86
5. Step 5: Solve for x
   x = 880,657.86/1,156.50
6. Step 6: Final answer
   x = 761.49