Finding the Fourth Proportional to 1,533.86, 2,301.52 and 840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.86 : 2,301.52 = 840.50 : x
2. Step 2: Convert to fraction form
   1,533.86/2,301.52 = 840.50/x
3. Step 3: Cross multiply
   1,533.86x = 2,301.52 × 840.50
4. Step 4: Simplify right side
   1,533.86x = 1,934,427.56
5. Step 5: Solve for x
   x = 1,934,427.56/1,533.86
6. Step 6: Final answer
   x = 1,261.15