Finding the Fourth Proportional to 1,507.86, 2,261.70 and 1,123.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.86 : 2,261.70 = 1,123.38 : x
2. Step 2: Convert to fraction form
   1,507.86/2,261.70 = 1,123.38/x
3. Step 3: Cross multiply
   1,507.86x = 2,261.70 × 1,123.38
4. Step 4: Simplify right side
   1,507.86x = 2,540,748.55
5. Step 5: Solve for x
   x = 2,540,748.55/1,507.86
6. Step 6: Final answer
   x = 1,685.00