Finding the Fourth Proportional to 1,374.77, 1,897.22 and 785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.77 : 1,897.22 = 785.50 : x
2. Step 2: Convert to fraction form
   1,374.77/1,897.22 = 785.50/x
3. Step 3: Cross multiply
   1,374.77x = 1,897.22 × 785.50
4. Step 4: Simplify right side
   1,374.77x = 1,490,263.53
5. Step 5: Solve for x
   x = 1,490,263.53/1,374.77
6. Step 6: Final answer
   x = 1,084.01