Finding the Fourth Proportional to 1,598.16, 2,385.64 and 1,477.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,598.16 : 2,385.64 = 1,477.86 : x
2. Step 2: Convert to fraction form
   1,598.16/2,385.64 = 1,477.86/x
3. Step 3: Cross multiply
   1,598.16x = 2,385.64 × 1,477.86
4. Step 4: Simplify right side
   1,598.16x = 3,525,641.93
5. Step 5: Solve for x
   x = 3,525,641.93/1,598.16
6. Step 6: Final answer
   x = 2,206.06