Finding the Fourth Proportional to 1,475.10, 2,213.94 and 782.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,475.10 : 2,213.94 = 782.27 : x
2. Step 2: Convert to fraction form
   1,475.10/2,213.94 = 782.27/x
3. Step 3: Cross multiply
   1,475.10x = 2,213.94 × 782.27
4. Step 4: Simplify right side
   1,475.10x = 1,731,887.77
5. Step 5: Solve for x
   x = 1,731,887.77/1,475.10
6. Step 6: Final answer
   x = 1,174.08